Your question is painfully ethnocentric, as I will illustrate:

Let's reverse your question. I presume the country in which you reside does not receive "foreign aid." If so, why then is famine not rampant where you live?

Whatever conditions prevent famine in your country (fertile land, water and irrigation, reliable and efficient transport infrastructure, political stability, etc.) do not exist where famine prevails, regardless of the measure of foreign aid provided.