Inter and trans mean the same thing: between or across. Meta can mean across, as in metaphor, beyond or beside, after, ruling, or self-consciously reflective. Post means after. It implies many times a negation of what came before. Postracial might mean there is no more racism, for example, or that we are beyond race.
So there is a kind of meta-analysis of these prefixes. All involve a going beyond, a transcendence, or a crossing of some kind. They are all metaphorical.