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Finding the Fourth Proportional to 422.23, 633.33 and 129.72

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Solution

The fourth proportional to 422.23, 633.33 and 129.72 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.23 : 633.33 = 129.72 : x
  2. Step 2: Convert to fraction form
    422.23/633.33 = 129.72/x
  3. Step 3: Cross multiply
    422.23x = 633.33 × 129.72
  4. Step 4: Simplify right side
    422.23x = 82,155.57
  5. Step 5: Solve for x
    x = 82,155.57/422.23
  6. Step 6: Final answer
    x = 194.58

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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.