On October 13, 1884, Greenwich was adopted as the universal meridian, dividing the Earth into the Eastern and the Western hemisphere. At the International Meridian Conference held in Washington, D.C., 22 countries voted to adopt the Greenwich meridian as the prime meridian of the world. The French argued for a neutral line, mentioning the Azores and the Bering Strait but eventually abstained and continued to use the Paris meridian until 1911.
The British Meridian
Before a common meridian was established, many maritime countries began establishing their own. In 1721, Great Britian established its meridian through an early transit circle at the newly established Royal Observatory at Greenwich. Through the years, the meridian was moved about 10 meters on several occasions, because transit circles with newer and better instruments were built, on each occasion next door to the existing one. The final meridian was established as an imaginary line from the north pole to the south pole passing through the Airy transit circle. This became Great Britain‘s meridian in 1851.
The International Meridian Conference
In 1884, the International Meridian Conference took place to establish an internationally recognised single meridan. The meridian chosen was that which passed through the Airy transit circle at Greenwich and it became the prime meridian. During time of the conference, scientists made measurements to determine the deflection of the vertical on a large scale. However, due to uneven distribution of the Earth‘s mass it was not possible to plumb in various locations, which if extended downward, would all pass through a single point, the centre of the Earth. Scientists proceeded to define ellipsoids of revolution. A given ellipsoid would be a good compromise for measurements in a given area, such as a country or continent. The difference between the direction of a plumb line and a line perpendicular to the surface of the ellipsoid of revolution at a particular observatory is the deflection of the vertical. However, The International Meridian Conference did not take this into account.
International Terrestrial Reference Frame
So when the Airy transit circle was built, they used a plumb line to align the telescope to the perpendicular AND the plumb line is deflected slightly from a line perpendicular to the modern ellipsoid used to define latitude and longitude, the International Terrestrial Reference Frame. This in turn meant that the Airy transit circle points very slightly to the east of the modern celestial meridian and as a result, any measurements of transit time across the view of the transit telescope occurs 0.352 seconds before the transit across the intended meridian. The practical upshot of this is that the modern prime meridian does not correspond to the Airy transit, but to a meridian that is 102 metres to the east of the transit. For all practical navigational purposes of the time, the difference was insignificant, and sailors certainly would not have noticed.
References and Further Reading:
-  The Greenwich Meridian Website
-  The Greenwich Prime Meridian at the National Maritime Museum
-  “Where the Earth’s surface begins—and ends”, Popular Mechanics, December 1930
-  Geodesy for the Layman (Technical report) (5th ed.). National Ocean Service. December 1983. pp. 6–10
-  The Greenwich Meridian at Wikidata
-  The origins of the Greenwich Meridian | Greenwich Mean Time | Place in History | 1974 via ThamesTV