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Finding the Fourth Proportional to 217.55, 323.85 and 207.59

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Solution

The fourth proportional to 217.55, 323.85 and 207.59 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.55 : 323.85 = 207.59 : x
  2. Step 2: Convert to fraction form
    217.55/323.85 = 207.59/x
  3. Step 3: Cross multiply
    217.55x = 323.85 × 207.59
  4. Step 4: Simplify right side
    217.55x = 67,227.25
  5. Step 5: Solve for x
    x = 67,227.25/217.55
  6. Step 6: Final answer
    x = 309.02

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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.