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Finding the Fourth Proportional to 269.47, 404.20 and 77.09

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Solution

The fourth proportional to 269.47, 404.20 and 77.09 is: 115.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.47 : 404.20 = 77.09 : x
  2. Step 2: Convert to fraction form
    269.47/404.20 = 77.09/x
  3. Step 3: Cross multiply
    269.47x = 404.20 × 77.09
  4. Step 4: Simplify right side
    269.47x = 31,159.78
  5. Step 5: Solve for x
    x = 31,159.78/269.47
  6. Step 6: Final answer
    x = 115.63

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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.