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Finding the Fourth Proportional to 151.07, 225.08 and 149.55

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Solution

The fourth proportional to 151.07, 225.08 and 149.55 is: 222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.07 : 225.08 = 149.55 : x
  2. Step 2: Convert to fraction form
    151.07/225.08 = 149.55/x
  3. Step 3: Cross multiply
    151.07x = 225.08 × 149.55
  4. Step 4: Simplify right side
    151.07x = 33,659.68
  5. Step 5: Solve for x
    x = 33,659.68/151.07
  6. Step 6: Final answer
    x = 222.82

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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.