To find the price of the kayak at the end of four months, we start with the initial price of $378 and subtract $15 for each of the four months.
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Subtract $15 for the first month: \( 378 - 15 = 363 \)
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Subtract $15 for the second month: \( 363 - 15 = 348 \)
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Subtract $15 for the third month: \( 348 - 15 = 333 \)
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Subtract $15 for the fourth month: \( 333 - 15 = 318 \)
Therefore, the price of the kayak at the end of four months is $318.