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Finding the Fourth Proportional to 422.77, 634.10 and 114.60

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Solution

The fourth proportional to 422.77, 634.10 and 114.60 is: 171.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.77 : 634.10 = 114.60 : x
  2. Step 2: Convert to fraction form
    422.77/634.10 = 114.60/x
  3. Step 3: Cross multiply
    422.77x = 634.10 × 114.60
  4. Step 4: Simplify right side
    422.77x = 72,667.86
  5. Step 5: Solve for x
    x = 72,667.86/422.77
  6. Step 6: Final answer
    x = 171.89

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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.