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Finding the Fourth Proportional to 151.62, 225.80 and 147.74

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Solution

The fourth proportional to 151.62, 225.80 and 147.74 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.62 : 225.80 = 147.74 : x
  2. Step 2: Convert to fraction form
    151.62/225.80 = 147.74/x
  3. Step 3: Cross multiply
    151.62x = 225.80 × 147.74
  4. Step 4: Simplify right side
    151.62x = 33,359.69
  5. Step 5: Solve for x
    x = 33,359.69/151.62
  6. Step 6: Final answer
    x = 220.02

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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.