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Finding the Fourth Proportional to 411.53, 616.31 and 205.84

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Solution

The fourth proportional to 411.53, 616.31 and 205.84 is: 308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.53 : 616.31 = 205.84 : x
  2. Step 2: Convert to fraction form
    411.53/616.31 = 205.84/x
  3. Step 3: Cross multiply
    411.53x = 616.31 × 205.84
  4. Step 4: Simplify right side
    411.53x = 126,857.14
  5. Step 5: Solve for x
    x = 126,857.14/411.53
  6. Step 6: Final answer
    x = 308.26

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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.