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Finding the Fourth Proportional to 616.76, 925.08 and 205.90

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Solution

The fourth proportional to 616.76, 925.08 and 205.90 is: 308.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.76 : 925.08 = 205.90 : x
  2. Step 2: Convert to fraction form
    616.76/925.08 = 205.90/x
  3. Step 3: Cross multiply
    616.76x = 925.08 × 205.90
  4. Step 4: Simplify right side
    616.76x = 190,473.97
  5. Step 5: Solve for x
    x = 190,473.97/616.76
  6. Step 6: Final answer
    x = 308.83

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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.