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Finding the Fourth Proportional to 323.93, 447.11 and 199.76

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Solution

The fourth proportional to 323.93, 447.11 and 199.76 is: 275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.93 : 447.11 = 199.76 : x
  2. Step 2: Convert to fraction form
    323.93/447.11 = 199.76/x
  3. Step 3: Cross multiply
    323.93x = 447.11 × 199.76
  4. Step 4: Simplify right side
    323.93x = 89,316.31
  5. Step 5: Solve for x
    x = 89,316.31/323.93
  6. Step 6: Final answer
    x = 275.73

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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.