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Finding the Fourth Proportional to 159.12, 237.48 and 132.12

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Solution

The fourth proportional to 159.12, 237.48 and 132.12 is: 197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.12 : 237.48 = 132.12 : x
  2. Step 2: Convert to fraction form
    159.12/237.48 = 132.12/x
  3. Step 3: Cross multiply
    159.12x = 237.48 × 132.12
  4. Step 4: Simplify right side
    159.12x = 31,375.86
  5. Step 5: Solve for x
    x = 31,375.86/159.12
  6. Step 6: Final answer
    x = 197.18

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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.