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Finding the Fourth Proportional to 151.11, 225.56 and 140.43

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Solution

The fourth proportional to 151.11, 225.56 and 140.43 is: 209.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.11 : 225.56 = 140.43 : x
  2. Step 2: Convert to fraction form
    151.11/225.56 = 140.43/x
  3. Step 3: Cross multiply
    151.11x = 225.56 × 140.43
  4. Step 4: Simplify right side
    151.11x = 31,675.39
  5. Step 5: Solve for x
    x = 31,675.39/151.11
  6. Step 6: Final answer
    x = 209.62

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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.