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Finding the Fourth Proportional to 331.26, 456.80 and 220.54

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Solution

The fourth proportional to 331.26, 456.80 and 220.54 is: 304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.26 : 456.80 = 220.54 : x
  2. Step 2: Convert to fraction form
    331.26/456.80 = 220.54/x
  3. Step 3: Cross multiply
    331.26x = 456.80 × 220.54
  4. Step 4: Simplify right side
    331.26x = 100,742.67
  5. Step 5: Solve for x
    x = 100,742.67/331.26
  6. Step 6: Final answer
    x = 304.12

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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.