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Finding the Fourth Proportional to 321.72, 481.76 and 199.61

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Solution

The fourth proportional to 321.72, 481.76 and 199.61 is: 298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.72 : 481.76 = 199.61 : x
  2. Step 2: Convert to fraction form
    321.72/481.76 = 199.61/x
  3. Step 3: Cross multiply
    321.72x = 481.76 × 199.61
  4. Step 4: Simplify right side
    321.72x = 96,164.11
  5. Step 5: Solve for x
    x = 96,164.11/321.72
  6. Step 6: Final answer
    x = 298.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.