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Finding the Fourth Proportional to 331.67, 458.15 and 247.83

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Solution

The fourth proportional to 331.67, 458.15 and 247.83 is: 342.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.67 : 458.15 = 247.83 : x
  2. Step 2: Convert to fraction form
    331.67/458.15 = 247.83/x
  3. Step 3: Cross multiply
    331.67x = 458.15 × 247.83
  4. Step 4: Simplify right side
    331.67x = 113,542.08
  5. Step 5: Solve for x
    x = 113,542.08/331.67
  6. Step 6: Final answer
    x = 342.34

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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.