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Finding the Fourth Proportional to 411.09, 616.72 and 122.55

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Solution

The fourth proportional to 411.09, 616.72 and 122.55 is: 183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.09 : 616.72 = 122.55 : x
  2. Step 2: Convert to fraction form
    411.09/616.72 = 122.55/x
  3. Step 3: Cross multiply
    411.09x = 616.72 × 122.55
  4. Step 4: Simplify right side
    411.09x = 75,579.04
  5. Step 5: Solve for x
    x = 75,579.04/411.09
  6. Step 6: Final answer
    x = 183.85

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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.