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Finding the Fourth Proportional to 331.62, 458.01 and 226.53

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Solution

The fourth proportional to 331.62, 458.01 and 226.53 is: 312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.62 : 458.01 = 226.53 : x
  2. Step 2: Convert to fraction form
    331.62/458.01 = 226.53/x
  3. Step 3: Cross multiply
    331.62x = 458.01 × 226.53
  4. Step 4: Simplify right side
    331.62x = 103,753.01
  5. Step 5: Solve for x
    x = 103,753.01/331.62
  6. Step 6: Final answer
    x = 312.87

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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.