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Finding the Fourth Proportional to 422.71, 634.77 and 261.42

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Solution

The fourth proportional to 422.71, 634.77 and 261.42 is: 392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.71 : 634.77 = 261.42 : x
  2. Step 2: Convert to fraction form
    422.71/634.77 = 261.42/x
  3. Step 3: Cross multiply
    422.71x = 634.77 × 261.42
  4. Step 4: Simplify right side
    422.71x = 165,941.57
  5. Step 5: Solve for x
    x = 165,941.57/422.71
  6. Step 6: Final answer
    x = 392.57

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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.