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Finding the Fourth Proportional to 331.20, 456.96 and 206.88

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Solution

The fourth proportional to 331.20, 456.96 and 206.88 is: 285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.20 : 456.96 = 206.88 : x
  2. Step 2: Convert to fraction form
    331.20/456.96 = 206.88/x
  3. Step 3: Cross multiply
    331.20x = 456.96 × 206.88
  4. Step 4: Simplify right side
    331.20x = 94,535.88
  5. Step 5: Solve for x
    x = 94,535.88/331.20
  6. Step 6: Final answer
    x = 285.43

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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.