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Finding the Fourth Proportional to 205.92, 285.30 and 191.88

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Solution

The fourth proportional to 205.92, 285.30 and 191.88 is: 265.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 285.30 = 191.88 : x
  2. Step 2: Convert to fraction form
    205.92/285.30 = 191.88/x
  3. Step 3: Cross multiply
    205.92x = 285.30 × 191.88
  4. Step 4: Simplify right side
    205.92x = 54,743.36
  5. Step 5: Solve for x
    x = 54,743.36/205.92
  6. Step 6: Final answer
    x = 265.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.