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Finding the Fourth Proportional to 169.43, 233.85 and 132.73

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Solution

The fourth proportional to 169.43, 233.85 and 132.73 is: 183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.43 : 233.85 = 132.73 : x
  2. Step 2: Convert to fraction form
    169.43/233.85 = 132.73/x
  3. Step 3: Cross multiply
    169.43x = 233.85 × 132.73
  4. Step 4: Simplify right side
    169.43x = 31,038.91
  5. Step 5: Solve for x
    x = 31,038.91/169.43
  6. Step 6: Final answer
    x = 183.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.