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Finding the Fourth Proportional to 232.46, 320.86 and 177.31

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Solution

The fourth proportional to 232.46, 320.86 and 177.31 is: 244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.46 : 320.86 = 177.31 : x
  2. Step 2: Convert to fraction form
    232.46/320.86 = 177.31/x
  3. Step 3: Cross multiply
    232.46x = 320.86 × 177.31
  4. Step 4: Simplify right side
    232.46x = 56,891.69
  5. Step 5: Solve for x
    x = 56,891.69/232.46
  6. Step 6: Final answer
    x = 244.74

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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.