The suffix まと的 (てき) attaches to nouns to create na-adjectives (or adverbs), similar to English suffixes like "-al", "-ic", "-ive", "-like", or "-ical". It is extremely productive and one of the most common ways to derive adjectives in Japanese.
When まと的 is followed by な, it modifies a noun just like any other na-adjective.
When まと的 is followed by に, it functions as an adverb modifying a verb, much like the English "-ally" or "-ically" suffix.
Many common Japanese words use まと的:
Not every noun can freely take まと的. It is most naturally used with abstract or Sino-Japanese (漢語) nouns. Using まと的 with native Japanese words (和語) or concrete nouns can sound unnatural. For example, やま山てき的 (mountain-like) would sound odd – やまのよう山のような would be used instead.
まと的 can sometimes overlap in meaning with の when modifying a noun (e.g. けいざいてき経済的なもんだい問題 vs. けいざい経済のもんだい問題). However, まと的 often adds the nuance of "in the nature of" or "from the perspective of," while の is a more direct connection. For instance, けいざいてき経済的なもんだい問題 means "an economic problem (in nature, e.g. a money problem)" while けいざい経済のもんだい問題 means "a problem of/about the economy."