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Finding the Fourth Proportional to 331.29, 456.48 and 226.40

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Solution

The fourth proportional to 331.29, 456.48 and 226.40 is: 311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.29 : 456.48 = 226.40 : x
  2. Step 2: Convert to fraction form
    331.29/456.48 = 226.40/x
  3. Step 3: Cross multiply
    331.29x = 456.48 × 226.40
  4. Step 4: Simplify right side
    331.29x = 103,344.79
  5. Step 5: Solve for x
    x = 103,344.79/331.29
  6. Step 6: Final answer
    x = 311.95

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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.