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Finding the Fourth Proportional to 169.68, 254.12 and 166.88

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Solution

The fourth proportional to 169.68, 254.12 and 166.88 is: 249.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.68 : 254.12 = 166.88 : x
  2. Step 2: Convert to fraction form
    169.68/254.12 = 166.88/x
  3. Step 3: Cross multiply
    169.68x = 254.12 × 166.88
  4. Step 4: Simplify right side
    169.68x = 42,407.55
  5. Step 5: Solve for x
    x = 42,407.55/169.68
  6. Step 6: Final answer
    x = 249.93

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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.