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Finding the Fourth Proportional to 457.60, 686.72 and 169.28

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Solution

The fourth proportional to 457.60, 686.72 and 169.28 is: 254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.60 : 686.72 = 169.28 : x
  2. Step 2: Convert to fraction form
    457.60/686.72 = 169.28/x
  3. Step 3: Cross multiply
    457.60x = 686.72 × 169.28
  4. Step 4: Simplify right side
    457.60x = 116,247.96
  5. Step 5: Solve for x
    x = 116,247.96/457.60
  6. Step 6: Final answer
    x = 254.04

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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.