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Finding the Fourth Proportional to 151.52, 207.74 and 149.92

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Solution

The fourth proportional to 151.52, 207.74 and 149.92 is: 205.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 207.74 = 149.92 : x
  2. Step 2: Convert to fraction form
    151.52/207.74 = 149.92/x
  3. Step 3: Cross multiply
    151.52x = 207.74 × 149.92
  4. Step 4: Simplify right side
    151.52x = 31,144.38
  5. Step 5: Solve for x
    x = 31,144.38/151.52
  6. Step 6: Final answer
    x = 205.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.