Low in Saturated Fat Physicians and nutritionists the world over all agree that a Diet that is high in saturated fat can have very negative consequences on a person's health and wellbeing. Indeed, a diet that is high in saturated fat can cause a person to suffer heart disease, can lead to cancer and can cause a whole host of other health problems and concern. The Mediterranean diet is noteworthy because of the fact that it is very low in saturated fat. The typical person who follows the Mediterranean diet intakes less than eight percent of his or her calories from potentially harmful saturated fat. This is significantly below the average of people who do not follow a Mediterranean diet regimen.