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Finding the Fourth Proportional to 411.89, 617.80 and 227.15

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Solution

The fourth proportional to 411.89, 617.80 and 227.15 is: 340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.89 : 617.80 = 227.15 : x
  2. Step 2: Convert to fraction form
    411.89/617.80 = 227.15/x
  3. Step 3: Cross multiply
    411.89x = 617.80 × 227.15
  4. Step 4: Simplify right side
    411.89x = 140,329.05
  5. Step 5: Solve for x
    x = 140,329.05/411.89
  6. Step 6: Final answer
    x = 340.70

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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.