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Finding the Fourth Proportional to 151.48, 225.82 and 149.14

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Solution

The fourth proportional to 151.48, 225.82 and 149.14 is: 222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.48 : 225.82 = 149.14 : x
  2. Step 2: Convert to fraction form
    151.48/225.82 = 149.14/x
  3. Step 3: Cross multiply
    151.48x = 225.82 × 149.14
  4. Step 4: Simplify right side
    151.48x = 33,678.79
  5. Step 5: Solve for x
    x = 33,678.79/151.48
  6. Step 6: Final answer
    x = 222.33

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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.