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Finding the Fourth Proportional to 217.38, 323.86 and 207.06

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Solution

The fourth proportional to 217.38, 323.86 and 207.06 is: 308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.38 : 323.86 = 207.06 : x
  2. Step 2: Convert to fraction form
    217.38/323.86 = 207.06/x
  3. Step 3: Cross multiply
    217.38x = 323.86 × 207.06
  4. Step 4: Simplify right side
    217.38x = 67,058.45
  5. Step 5: Solve for x
    x = 67,058.45/217.38
  6. Step 6: Final answer
    x = 308.48

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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.