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Finding the Fourth Proportional to 422.47, 633.78 and 133.90

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Solution

The fourth proportional to 422.47, 633.78 and 133.90 is: 200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.47 : 633.78 = 133.90 : x
  2. Step 2: Convert to fraction form
    422.47/633.78 = 133.90/x
  3. Step 3: Cross multiply
    422.47x = 633.78 × 133.90
  4. Step 4: Simplify right side
    422.47x = 84,863.14
  5. Step 5: Solve for x
    x = 84,863.14/422.47
  6. Step 6: Final answer
    x = 200.87

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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.