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Finding the Fourth Proportional to 461.15, 691.73 and 152.92

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Solution

The fourth proportional to 461.15, 691.73 and 152.92 is: 229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.15 : 691.73 = 152.92 : x
  2. Step 2: Convert to fraction form
    461.15/691.73 = 152.92/x
  3. Step 3: Cross multiply
    461.15x = 691.73 × 152.92
  4. Step 4: Simplify right side
    461.15x = 105,778.97
  5. Step 5: Solve for x
    x = 105,778.97/461.15
  6. Step 6: Final answer
    x = 229.38

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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.