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Finding the Fourth Proportional to 422.91, 637.18 and 381.82

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Solution

The fourth proportional to 422.91, 637.18 and 381.82 is: 575.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.91 : 637.18 = 381.82 : x
  2. Step 2: Convert to fraction form
    422.91/637.18 = 381.82/x
  3. Step 3: Cross multiply
    422.91x = 637.18 × 381.82
  4. Step 4: Simplify right side
    422.91x = 243,286.27
  5. Step 5: Solve for x
    x = 243,286.27/422.91
  6. Step 6: Final answer
    x = 575.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.