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Finding the Fourth Proportional to 205.06, 280.94 and 195.73

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Solution

The fourth proportional to 205.06, 280.94 and 195.73 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.06 : 280.94 = 195.73 : x
  2. Step 2: Convert to fraction form
    205.06/280.94 = 195.73/x
  3. Step 3: Cross multiply
    205.06x = 280.94 × 195.73
  4. Step 4: Simplify right side
    205.06x = 54,988.39
  5. Step 5: Solve for x
    x = 54,988.39/205.06
  6. Step 6: Final answer
    x = 268.16

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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.