Laterian sits next to 4 phonetic neighbors — Demetrian, Latrell, and Darian are the closest matches by sound. Most share Laterian's American-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"modern American coinage; possibly echoing Lateran (the Roman hill)"
"God is salvation"
"day's light, brightness"
"pledged to God"
"Exclamation of triumphant discovery"
"farm garden, upper estate enclosure"
"fortunate in battle"
"home ruler"
"woodland spirit"
"slender; narrow passage"
Similar sound: These names share phonetic patterns with Laterian — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have American origins, giving them the same cultural heritage as Laterian.
Rhythm: Laterian is a 4-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.