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Finding the Fourth Proportional to 288.52, 397.92 and 249.64

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Solution

The fourth proportional to 288.52, 397.92 and 249.64 is: 344.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.52 : 397.92 = 249.64 : x
  2. Step 2: Convert to fraction form
    288.52/397.92 = 249.64/x
  3. Step 3: Cross multiply
    288.52x = 397.92 × 249.64
  4. Step 4: Simplify right side
    288.52x = 99,336.75
  5. Step 5: Solve for x
    x = 99,336.75/288.52
  6. Step 6: Final answer
    x = 344.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.