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Finding the Fourth Proportional to 391.08, 585.84 and 205.96

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Solution

The fourth proportional to 391.08, 585.84 and 205.96 is: 308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.08 : 585.84 = 205.96 : x
  2. Step 2: Convert to fraction form
    391.08/585.84 = 205.96/x
  3. Step 3: Cross multiply
    391.08x = 585.84 × 205.96
  4. Step 4: Simplify right side
    391.08x = 120,659.61
  5. Step 5: Solve for x
    x = 120,659.61/391.08
  6. Step 6: Final answer
    x = 308.53

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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.