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Finding the Fourth Proportional to 422.29, 633.53 and 129.77

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Solution

The fourth proportional to 422.29, 633.53 and 129.77 is: 194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.29 : 633.53 = 129.77 : x
  2. Step 2: Convert to fraction form
    422.29/633.53 = 129.77/x
  3. Step 3: Cross multiply
    422.29x = 633.53 × 129.77
  4. Step 4: Simplify right side
    422.29x = 82,213.19
  5. Step 5: Solve for x
    x = 82,213.19/422.29
  6. Step 6: Final answer
    x = 194.68

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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.