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Finding the Fourth Proportional to 205.90, 285.46 and 194.96

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Solution

The fourth proportional to 205.90, 285.46 and 194.96 is: 270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.90 : 285.46 = 194.96 : x
  2. Step 2: Convert to fraction form
    205.90/285.46 = 194.96/x
  3. Step 3: Cross multiply
    205.90x = 285.46 × 194.96
  4. Step 4: Simplify right side
    205.90x = 55,653.28
  5. Step 5: Solve for x
    x = 55,653.28/205.90
  6. Step 6: Final answer
    x = 270.29

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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.