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Finding the Fourth Proportional to 423.97, 636.15 and 269.86

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Solution

The fourth proportional to 423.97, 636.15 and 269.86 is: 404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.97 : 636.15 = 269.86 : x
  2. Step 2: Convert to fraction form
    423.97/636.15 = 269.86/x
  3. Step 3: Cross multiply
    423.97x = 636.15 × 269.86
  4. Step 4: Simplify right side
    423.97x = 171,666.91
  5. Step 5: Solve for x
    x = 171,666.91/423.97
  6. Step 6: Final answer
    x = 404.90

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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.