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Finding the Fourth Proportional to 331.27, 456.78 and 248.11

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Solution

The fourth proportional to 331.27, 456.78 and 248.11 is: 342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.27 : 456.78 = 248.11 : x
  2. Step 2: Convert to fraction form
    331.27/456.78 = 248.11/x
  3. Step 3: Cross multiply
    331.27x = 456.78 × 248.11
  4. Step 4: Simplify right side
    331.27x = 113,331.69
  5. Step 5: Solve for x
    x = 113,331.69/331.27
  6. Step 6: Final answer
    x = 342.11

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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.