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Finding the Fourth Proportional to 323.38, 446.18 and 199.10

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Solution

The fourth proportional to 323.38, 446.18 and 199.10 is: 274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.38 : 446.18 = 199.10 : x
  2. Step 2: Convert to fraction form
    323.38/446.18 = 199.10/x
  3. Step 3: Cross multiply
    323.38x = 446.18 × 199.10
  4. Step 4: Simplify right side
    323.38x = 88,834.44
  5. Step 5: Solve for x
    x = 88,834.44/323.38
  6. Step 6: Final answer
    x = 274.71

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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.