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Finding the Fourth Proportional to 461.50, 691.98 and 187.72

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Solution

The fourth proportional to 461.50, 691.98 and 187.72 is: 281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.50 : 691.98 = 187.72 : x
  2. Step 2: Convert to fraction form
    461.50/691.98 = 187.72/x
  3. Step 3: Cross multiply
    461.50x = 691.98 × 187.72
  4. Step 4: Simplify right side
    461.50x = 129,898.49
  5. Step 5: Solve for x
    x = 129,898.49/461.50
  6. Step 6: Final answer
    x = 281.47

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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.