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Finding the Fourth Proportional to 321.41, 481.98 and 199.91

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Solution

The fourth proportional to 321.41, 481.98 and 199.91 is: 299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.41 : 481.98 = 199.91 : x
  2. Step 2: Convert to fraction form
    321.41/481.98 = 199.91/x
  3. Step 3: Cross multiply
    321.41x = 481.98 × 199.91
  4. Step 4: Simplify right side
    321.41x = 96,352.62
  5. Step 5: Solve for x
    x = 96,352.62/321.41
  6. Step 6: Final answer
    x = 299.78

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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.