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Finding the Fourth Proportional to 217.08, 323.37 and 206.73

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Solution

The fourth proportional to 217.08, 323.37 and 206.73 is: 307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.08 : 323.37 = 206.73 : x
  2. Step 2: Convert to fraction form
    217.08/323.37 = 206.73/x
  3. Step 3: Cross multiply
    217.08x = 323.37 × 206.73
  4. Step 4: Simplify right side
    217.08x = 66,850.28
  5. Step 5: Solve for x
    x = 66,850.28/217.08
  6. Step 6: Final answer
    x = 307.95

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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.