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Finding the Fourth Proportional to 217.38, 323.61 and 206.85

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Solution

The fourth proportional to 217.38, 323.61 and 206.85 is: 307.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.38 : 323.61 = 206.85 : x
  2. Step 2: Convert to fraction form
    217.38/323.61 = 206.85/x
  3. Step 3: Cross multiply
    217.38x = 323.61 × 206.85
  4. Step 4: Simplify right side
    217.38x = 66,938.73
  5. Step 5: Solve for x
    x = 66,938.73/217.38
  6. Step 6: Final answer
    x = 307.93

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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.