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Finding the Fourth Proportional to 461.38, 691.62 and 168.70

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Solution

The fourth proportional to 461.38, 691.62 and 168.70 is: 252.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.38 : 691.62 = 168.70 : x
  2. Step 2: Convert to fraction form
    461.38/691.62 = 168.70/x
  3. Step 3: Cross multiply
    461.38x = 691.62 × 168.70
  4. Step 4: Simplify right side
    461.38x = 116,676.29
  5. Step 5: Solve for x
    x = 116,676.29/461.38
  6. Step 6: Final answer
    x = 252.89

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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.