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Finding the Fourth Proportional to 269.65, 402.52 and 249.61

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Solution

The fourth proportional to 269.65, 402.52 and 249.61 is: 372.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.65 : 402.52 = 249.61 : x
  2. Step 2: Convert to fraction form
    269.65/402.52 = 249.61/x
  3. Step 3: Cross multiply
    269.65x = 402.52 × 249.61
  4. Step 4: Simplify right side
    269.65x = 100,473.02
  5. Step 5: Solve for x
    x = 100,473.02/269.65
  6. Step 6: Final answer
    x = 372.61

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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.