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Finding the Fourth Proportional to 205.75, 285.43 and 195.73

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Solution

The fourth proportional to 205.75, 285.43 and 195.73 is: 271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 285.43 = 195.73 : x
  2. Step 2: Convert to fraction form
    205.75/285.43 = 195.73/x
  3. Step 3: Cross multiply
    205.75x = 285.43 × 195.73
  4. Step 4: Simplify right side
    205.75x = 55,867.21
  5. Step 5: Solve for x
    x = 55,867.21/205.75
  6. Step 6: Final answer
    x = 271.53

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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.