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Finding the Fourth Proportional to 269.57, 404.18 and 86.95

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Solution

The fourth proportional to 269.57, 404.18 and 86.95 is: 130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.57 : 404.18 = 86.95 : x
  2. Step 2: Convert to fraction form
    269.57/404.18 = 86.95/x
  3. Step 3: Cross multiply
    269.57x = 404.18 × 86.95
  4. Step 4: Simplify right side
    269.57x = 35,143.45
  5. Step 5: Solve for x
    x = 35,143.45/269.57
  6. Step 6: Final answer
    x = 130.37

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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.