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Finding the Fourth Proportional to 232.43, 320.88 and 158.86

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Solution

The fourth proportional to 232.43, 320.88 and 158.86 is: 219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.43 : 320.88 = 158.86 : x
  2. Step 2: Convert to fraction form
    232.43/320.88 = 158.86/x
  3. Step 3: Cross multiply
    232.43x = 320.88 × 158.86
  4. Step 4: Simplify right side
    232.43x = 50,974.79
  5. Step 5: Solve for x
    x = 50,974.79/232.43
  6. Step 6: Final answer
    x = 219.31

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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.