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Finding the Fourth Proportional to 151.52, 225.77 and 146.61

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Solution

The fourth proportional to 151.52, 225.77 and 146.61 is: 218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 225.77 = 146.61 : x
  2. Step 2: Convert to fraction form
    151.52/225.77 = 146.61/x
  3. Step 3: Cross multiply
    151.52x = 225.77 × 146.61
  4. Step 4: Simplify right side
    151.52x = 33,099.41
  5. Step 5: Solve for x
    x = 33,099.41/151.52
  6. Step 6: Final answer
    x = 218.46

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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.