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Finding the Fourth Proportional to 202.64, 281.26 and 194.72

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Solution

The fourth proportional to 202.64, 281.26 and 194.72 is: 270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.64 : 281.26 = 194.72 : x
  2. Step 2: Convert to fraction form
    202.64/281.26 = 194.72/x
  3. Step 3: Cross multiply
    202.64x = 281.26 × 194.72
  4. Step 4: Simplify right side
    202.64x = 54,766.95
  5. Step 5: Solve for x
    x = 54,766.95/202.64
  6. Step 6: Final answer
    x = 270.27

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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.