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Finding the Fourth Proportional to 205.39, 281.85 and 193.79

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Solution

The fourth proportional to 205.39, 281.85 and 193.79 is: 265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.39 : 281.85 = 193.79 : x
  2. Step 2: Convert to fraction form
    205.39/281.85 = 193.79/x
  3. Step 3: Cross multiply
    205.39x = 281.85 × 193.79
  4. Step 4: Simplify right side
    205.39x = 54,621.32
  5. Step 5: Solve for x
    x = 54,621.32/205.39
  6. Step 6: Final answer
    x = 265.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.