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Finding the Fourth Proportional to 411.62, 618.33 and 320.49

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Solution

The fourth proportional to 411.62, 618.33 and 320.49 is: 481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.62 : 618.33 = 320.49 : x
  2. Step 2: Convert to fraction form
    411.62/618.33 = 320.49/x
  3. Step 3: Cross multiply
    411.62x = 618.33 × 320.49
  4. Step 4: Simplify right side
    411.62x = 198,169.78
  5. Step 5: Solve for x
    x = 198,169.78/411.62
  6. Step 6: Final answer
    x = 481.44

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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.