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Finding the Fourth Proportional to 217.40, 324.10 and 199.04

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Solution

The fourth proportional to 217.40, 324.10 and 199.04 is: 296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.40 : 324.10 = 199.04 : x
  2. Step 2: Convert to fraction form
    217.40/324.10 = 199.04/x
  3. Step 3: Cross multiply
    217.40x = 324.10 × 199.04
  4. Step 4: Simplify right side
    217.40x = 64,508.86
  5. Step 5: Solve for x
    x = 64,508.86/217.40
  6. Step 6: Final answer
    x = 296.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.