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Finding the Fourth Proportional to 269.78, 404.71 and 139.84

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Solution

The fourth proportional to 269.78, 404.71 and 139.84 is: 209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.78 : 404.71 = 139.84 : x
  2. Step 2: Convert to fraction form
    269.78/404.71 = 139.84/x
  3. Step 3: Cross multiply
    269.78x = 404.71 × 139.84
  4. Step 4: Simplify right side
    269.78x = 56,593.29
  5. Step 5: Solve for x
    x = 56,593.29/269.78
  6. Step 6: Final answer
    x = 209.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.