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Finding the Fourth Proportional to 331.11, 456.98 and 226.31

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Solution

The fourth proportional to 331.11, 456.98 and 226.31 is: 312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.11 : 456.98 = 226.31 : x
  2. Step 2: Convert to fraction form
    331.11/456.98 = 226.31/x
  3. Step 3: Cross multiply
    331.11x = 456.98 × 226.31
  4. Step 4: Simplify right side
    331.11x = 103,415.73
  5. Step 5: Solve for x
    x = 103,415.73/331.11
  6. Step 6: Final answer
    x = 312.33

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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.