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Finding the Fourth Proportional to 151.56, 225.50 and 142.92

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Solution

The fourth proportional to 151.56, 225.50 and 142.92 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.56 : 225.50 = 142.92 : x
  2. Step 2: Convert to fraction form
    151.56/225.50 = 142.92/x
  3. Step 3: Cross multiply
    151.56x = 225.50 × 142.92
  4. Step 4: Simplify right side
    151.56x = 32,227.75
  5. Step 5: Solve for x
    x = 32,227.75/151.56
  6. Step 6: Final answer
    x = 212.64

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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.