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Finding the Fourth Proportional to 151, 225.42 and 132.78

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Solution

The fourth proportional to 151, 225.42 and 132.78 is: 198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151 : 225.42 = 132.78 : x
  2. Step 2: Convert to fraction form
    151/225.42 = 132.78/x
  3. Step 3: Cross multiply
    151x = 225.42 × 132.78
  4. Step 4: Simplify right side
    151x = 29,931.27
  5. Step 5: Solve for x
    x = 29,931.27/151
  6. Step 6: Final answer
    x = 198.22

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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.