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Finding the Fourth Proportional to 461.25, 691.39 and 217.57

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Solution

The fourth proportional to 461.25, 691.39 and 217.57 is: 326.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.25 : 691.39 = 217.57 : x
  2. Step 2: Convert to fraction form
    461.25/691.39 = 217.57/x
  3. Step 3: Cross multiply
    461.25x = 691.39 × 217.57
  4. Step 4: Simplify right side
    461.25x = 150,425.72
  5. Step 5: Solve for x
    x = 150,425.72/461.25
  6. Step 6: Final answer
    x = 326.13

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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.