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Finding the Fourth Proportional to 151.92, 226.62 and 142.61

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Solution

The fourth proportional to 151.92, 226.62 and 142.61 is: 212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.92 : 226.62 = 142.61 : x
  2. Step 2: Convert to fraction form
    151.92/226.62 = 142.61/x
  3. Step 3: Cross multiply
    151.92x = 226.62 × 142.61
  4. Step 4: Simplify right side
    151.92x = 32,317.15
  5. Step 5: Solve for x
    x = 32,317.15/151.92
  6. Step 6: Final answer
    x = 212.72

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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.