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Finding the Fourth Proportional to 461.20, 691.36 and 172.57

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Solution

The fourth proportional to 461.20, 691.36 and 172.57 is: 258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.20 : 691.36 = 172.57 : x
  2. Step 2: Convert to fraction form
    461.20/691.36 = 172.57/x
  3. Step 3: Cross multiply
    461.20x = 691.36 × 172.57
  4. Step 4: Simplify right side
    461.20x = 119,308.00
  5. Step 5: Solve for x
    x = 119,308.00/461.20
  6. Step 6: Final answer
    x = 258.69

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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.