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Finding the Fourth Proportional to 290.24, 432.80 and 249.92

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Solution

The fourth proportional to 290.24, 432.80 and 249.92 is: 372.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.24 : 432.80 = 249.92 : x
  2. Step 2: Convert to fraction form
    290.24/432.80 = 249.92/x
  3. Step 3: Cross multiply
    290.24x = 432.80 × 249.92
  4. Step 4: Simplify right side
    290.24x = 108,165.38
  5. Step 5: Solve for x
    x = 108,165.38/290.24
  6. Step 6: Final answer
    x = 372.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.