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Finding the Fourth Proportional to 232.56, 320.96 and 154.96

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Solution

The fourth proportional to 232.56, 320.96 and 154.96 is: 213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 320.96 = 154.96 : x
  2. Step 2: Convert to fraction form
    232.56/320.96 = 154.96/x
  3. Step 3: Cross multiply
    232.56x = 320.96 × 154.96
  4. Step 4: Simplify right side
    232.56x = 49,735.96
  5. Step 5: Solve for x
    x = 49,735.96/232.56
  6. Step 6: Final answer
    x = 213.86

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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.