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Finding the Fourth Proportional to 461.88, 693.17 and 169.66

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Solution

The fourth proportional to 461.88, 693.17 and 169.66 is: 254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.88 : 693.17 = 169.66 : x
  2. Step 2: Convert to fraction form
    461.88/693.17 = 169.66/x
  3. Step 3: Cross multiply
    461.88x = 693.17 × 169.66
  4. Step 4: Simplify right side
    461.88x = 117,601.91
  5. Step 5: Solve for x
    x = 117,601.91/461.88
  6. Step 6: Final answer
    x = 254.62

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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.