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Finding the Fourth Proportional to 410.97, 616.67 and 194.49

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Solution

The fourth proportional to 410.97, 616.67 and 194.49 is: 291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.97 : 616.67 = 194.49 : x
  2. Step 2: Convert to fraction form
    410.97/616.67 = 194.49/x
  3. Step 3: Cross multiply
    410.97x = 616.67 × 194.49
  4. Step 4: Simplify right side
    410.97x = 119,935.18
  5. Step 5: Solve for x
    x = 119,935.18/410.97
  6. Step 6: Final answer
    x = 291.83

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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.