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Finding the Fourth Proportional to 155.82, 232.67 and 151.27

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Solution

The fourth proportional to 155.82, 232.67 and 151.27 is: 225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.82 : 232.67 = 151.27 : x
  2. Step 2: Convert to fraction form
    155.82/232.67 = 151.27/x
  3. Step 3: Cross multiply
    155.82x = 232.67 × 151.27
  4. Step 4: Simplify right side
    155.82x = 35,195.79
  5. Step 5: Solve for x
    x = 35,195.79/155.82
  6. Step 6: Final answer
    x = 225.87

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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.