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Finding the Fourth Proportional to 151.34, 225.78 and 147.16

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Solution

The fourth proportional to 151.34, 225.78 and 147.16 is: 219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.34 : 225.78 = 147.16 : x
  2. Step 2: Convert to fraction form
    151.34/225.78 = 147.16/x
  3. Step 3: Cross multiply
    151.34x = 225.78 × 147.16
  4. Step 4: Simplify right side
    151.34x = 33,223.92
  5. Step 5: Solve for x
    x = 33,223.92/151.34
  6. Step 6: Final answer
    x = 219.53

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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.