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Finding the Fourth Proportional to 269.71, 402.85 and 239.47

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Solution

The fourth proportional to 269.71, 402.85 and 239.47 is: 357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.71 : 402.85 = 239.47 : x
  2. Step 2: Convert to fraction form
    269.71/402.85 = 239.47/x
  3. Step 3: Cross multiply
    269.71x = 402.85 × 239.47
  4. Step 4: Simplify right side
    269.71x = 96,470.49
  5. Step 5: Solve for x
    x = 96,470.49/269.71
  6. Step 6: Final answer
    x = 357.68

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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.