To determine which of the given options is not a type of geographical profile, we first need to understand what each term represents within geographical and topographical contexts.

1. Serial Profiles: These profiles represent a series of connected cross-sections along a single linear feature like a river or road and illustrate changes in elevation or other variables along the path.
2. Linear Profiles: The term "linear profile" is not typically recognized as a standard type of profile in geography or cartography. It is likely included to test your understanding of standard terminology and concepts in geography. Hence, this is most likely the correct answer.
3. Composite Profiles: These refer to profiles that combine several individual profiles to give a more comprehensive view of an area, showcasing various features or attributes.
4. Superimposed Profiles: This type involves overlaying profiles on top of one another to compare different features or datasets.

Given the definitions above, the term Linear Profiles does not fit into the standard categorization of geographical profiles. Therefore, it is the correct answer to the question.

Conclusion: The option that is not a type of profile is Linear profiles.