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Finding the Fourth Proportional to 331.25, 456.92 and 226.35

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Solution

The fourth proportional to 331.25, 456.92 and 226.35 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.25 : 456.92 = 226.35 : x
  2. Step 2: Convert to fraction form
    331.25/456.92 = 226.35/x
  3. Step 3: Cross multiply
    331.25x = 456.92 × 226.35
  4. Step 4: Simplify right side
    331.25x = 103,422.71
  5. Step 5: Solve for x
    x = 103,422.71/331.25
  6. Step 6: Final answer
    x = 312.22

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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.