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Finding the Fourth Proportional to 232.27, 320.78 and 158.78

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Solution

The fourth proportional to 232.27, 320.78 and 158.78 is: 219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.27 : 320.78 = 158.78 : x
  2. Step 2: Convert to fraction form
    232.27/320.78 = 158.78/x
  3. Step 3: Cross multiply
    232.27x = 320.78 × 158.78
  4. Step 4: Simplify right side
    232.27x = 50,933.45
  5. Step 5: Solve for x
    x = 50,933.45/232.27
  6. Step 6: Final answer
    x = 219.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.