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Finding the Fourth Proportional to 411.55, 617.22 and 205.97

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Solution

The fourth proportional to 411.55, 617.22 and 205.97 is: 308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.55 : 617.22 = 205.97 : x
  2. Step 2: Convert to fraction form
    411.55/617.22 = 205.97/x
  3. Step 3: Cross multiply
    411.55x = 617.22 × 205.97
  4. Step 4: Simplify right side
    411.55x = 127,128.80
  5. Step 5: Solve for x
    x = 127,128.80/411.55
  6. Step 6: Final answer
    x = 308.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.