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Finding the Fourth Proportional to 169.28, 252.96 and 125.52

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Solution

The fourth proportional to 169.28, 252.96 and 125.52 is: 187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.28 : 252.96 = 125.52 : x
  2. Step 2: Convert to fraction form
    169.28/252.96 = 125.52/x
  3. Step 3: Cross multiply
    169.28x = 252.96 × 125.52
  4. Step 4: Simplify right side
    169.28x = 31,751.54
  5. Step 5: Solve for x
    x = 31,751.54/169.28
  6. Step 6: Final answer
    x = 187.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.