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Finding the Fourth Proportional to 422.73, 634.13 and 114.61

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Solution

The fourth proportional to 422.73, 634.13 and 114.61 is: 171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.73 : 634.13 = 114.61 : x
  2. Step 2: Convert to fraction form
    422.73/634.13 = 114.61/x
  3. Step 3: Cross multiply
    422.73x = 634.13 × 114.61
  4. Step 4: Simplify right side
    422.73x = 72,675.48
  5. Step 5: Solve for x
    x = 72,675.48/422.73
  6. Step 6: Final answer
    x = 171.92

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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.