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Finding the Fourth Proportional to 481.72, 664.68 and 321.88

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Solution

The fourth proportional to 481.72, 664.68 and 321.88 is: 444.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.72 : 664.68 = 321.88 : x
  2. Step 2: Convert to fraction form
    481.72/664.68 = 321.88/x
  3. Step 3: Cross multiply
    481.72x = 664.68 × 321.88
  4. Step 4: Simplify right side
    481.72x = 213,947.20
  5. Step 5: Solve for x
    x = 213,947.20/481.72
  6. Step 6: Final answer
    x = 444.13

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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.