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Finding the Fourth Proportional to 411.87, 618.11 and 331.68

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Solution

The fourth proportional to 411.87, 618.11 and 331.68 is: 497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.87 : 618.11 = 331.68 : x
  2. Step 2: Convert to fraction form
    411.87/618.11 = 331.68/x
  3. Step 3: Cross multiply
    411.87x = 618.11 × 331.68
  4. Step 4: Simplify right side
    411.87x = 205,013.07
  5. Step 5: Solve for x
    x = 205,013.07/411.87
  6. Step 6: Final answer
    x = 497.76

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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.