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Finding the Fourth Proportional to 331.73, 497.61 and 115.46

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Solution

The fourth proportional to 331.73, 497.61 and 115.46 is: 173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.73 : 497.61 = 115.46 : x
  2. Step 2: Convert to fraction form
    331.73/497.61 = 115.46/x
  3. Step 3: Cross multiply
    331.73x = 497.61 × 115.46
  4. Step 4: Simplify right side
    331.73x = 57,454.05
  5. Step 5: Solve for x
    x = 57,454.05/331.73
  6. Step 6: Final answer
    x = 173.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.