“fitting” is a noun and adjective with 6 meanings. Its most common meaning is: making or becoming suitable; adjusting to circumstances.
fitting
noun
making or becoming suitable; adjusting to circumstances
a small and often standardized accessory to a larger system
(usually in the plural) furnishings and equipment (especially for a ship or hotel)
putting clothes on to see whether they fit
adjective
in harmony with the spirit of particular persons or occasion
“a decent burial”
“We have come to dedicate a portion of that field...It is altogether fitting and proper that we should do this”
being precisely fitting and right
“it is only meet that she should be seated first”
Source: WordNet 3.1, Princeton University