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Finding the Fourth Proportional to 151.53, 225.78 and 142.23

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Solution

The fourth proportional to 151.53, 225.78 and 142.23 is: 211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.53 : 225.78 = 142.23 : x
  2. Step 2: Convert to fraction form
    151.53/225.78 = 142.23/x
  3. Step 3: Cross multiply
    151.53x = 225.78 × 142.23
  4. Step 4: Simplify right side
    151.53x = 32,112.69
  5. Step 5: Solve for x
    x = 32,112.69/151.53
  6. Step 6: Final answer
    x = 211.92

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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.