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Finding the Fourth Proportional to 461.18, 691.26 and 217.64

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Solution

The fourth proportional to 461.18, 691.26 and 217.64 is: 326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.18 : 691.26 = 217.64 : x
  2. Step 2: Convert to fraction form
    461.18/691.26 = 217.64/x
  3. Step 3: Cross multiply
    461.18x = 691.26 × 217.64
  4. Step 4: Simplify right side
    461.18x = 150,445.83
  5. Step 5: Solve for x
    x = 150,445.83/461.18
  6. Step 6: Final answer
    x = 326.22

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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.