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Finding the Fourth Proportional to 151.72, 225.97 and 148.84

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Solution

The fourth proportional to 151.72, 225.97 and 148.84 is: 221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.72 : 225.97 = 148.84 : x
  2. Step 2: Convert to fraction form
    151.72/225.97 = 148.84/x
  3. Step 3: Cross multiply
    151.72x = 225.97 × 148.84
  4. Step 4: Simplify right side
    151.72x = 33,633.37
  5. Step 5: Solve for x
    x = 33,633.37/151.72
  6. Step 6: Final answer
    x = 221.68

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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.