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Finding the Fourth Proportional to 411.16, 616.76 and 194.64

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Solution

The fourth proportional to 411.16, 616.76 and 194.64 is: 291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.16 : 616.76 = 194.64 : x
  2. Step 2: Convert to fraction form
    411.16/616.76 = 194.64/x
  3. Step 3: Cross multiply
    411.16x = 616.76 × 194.64
  4. Step 4: Simplify right side
    411.16x = 120,046.17
  5. Step 5: Solve for x
    x = 120,046.17/411.16
  6. Step 6: Final answer
    x = 291.97

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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.