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Finding the Fourth Proportional to 481.80, 664.20 and 324.15

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Solution

The fourth proportional to 481.80, 664.20 and 324.15 is: 446.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.80 : 664.20 = 324.15 : x
  2. Step 2: Convert to fraction form
    481.80/664.20 = 324.15/x
  3. Step 3: Cross multiply
    481.80x = 664.20 × 324.15
  4. Step 4: Simplify right side
    481.80x = 215,300.43
  5. Step 5: Solve for x
    x = 215,300.43/481.80
  6. Step 6: Final answer
    x = 446.87

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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.