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Finding the Fourth Proportional to 205.78, 282.79 and 196.26

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Solution

The fourth proportional to 205.78, 282.79 and 196.26 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.78 : 282.79 = 196.26 : x
  2. Step 2: Convert to fraction form
    205.78/282.79 = 196.26/x
  3. Step 3: Cross multiply
    205.78x = 282.79 × 196.26
  4. Step 4: Simplify right side
    205.78x = 55,499.38
  5. Step 5: Solve for x
    x = 55,499.38/205.78
  6. Step 6: Final answer
    x = 269.71

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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.