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Finding the Fourth Proportional to 269.56, 404.35 and 77.19

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Solution

The fourth proportional to 269.56, 404.35 and 77.19 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.56 : 404.35 = 77.19 : x
  2. Step 2: Convert to fraction form
    269.56/404.35 = 77.19/x
  3. Step 3: Cross multiply
    269.56x = 404.35 × 77.19
  4. Step 4: Simplify right side
    269.56x = 31,210.38
  5. Step 5: Solve for x
    x = 31,210.38/269.56
  6. Step 6: Final answer
    x = 115.78

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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.