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Finding the Fourth Proportional to 411.60, 616.87 and 216.11

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Solution

The fourth proportional to 411.60, 616.87 and 216.11 is: 323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.60 : 616.87 = 216.11 : x
  2. Step 2: Convert to fraction form
    411.60/616.87 = 216.11/x
  3. Step 3: Cross multiply
    411.60x = 616.87 × 216.11
  4. Step 4: Simplify right side
    411.60x = 133,311.78
  5. Step 5: Solve for x
    x = 133,311.78/411.60
  6. Step 6: Final answer
    x = 323.89

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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.