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Finding the Fourth Proportional to 411.16, 616.15 and 205.44

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Solution

The fourth proportional to 411.16, 616.15 and 205.44 is: 307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.16 : 616.15 = 205.44 : x
  2. Step 2: Convert to fraction form
    411.16/616.15 = 205.44/x
  3. Step 3: Cross multiply
    411.16x = 616.15 × 205.44
  4. Step 4: Simplify right side
    411.16x = 126,581.86
  5. Step 5: Solve for x
    x = 126,581.86/411.16
  6. Step 6: Final answer
    x = 307.87

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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.