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Finding the Fourth Proportional to 217.35, 323.97 and 200.94

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Solution

The fourth proportional to 217.35, 323.97 and 200.94 is: 299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.35 : 323.97 = 200.94 : x
  2. Step 2: Convert to fraction form
    217.35/323.97 = 200.94/x
  3. Step 3: Cross multiply
    217.35x = 323.97 × 200.94
  4. Step 4: Simplify right side
    217.35x = 65,098.53
  5. Step 5: Solve for x
    x = 65,098.53/217.35
  6. Step 6: Final answer
    x = 299.51

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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.