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Finding the Fourth Proportional to 202.78, 281.28 and 195.49

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Solution

The fourth proportional to 202.78, 281.28 and 195.49 is: 271.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.78 : 281.28 = 195.49 : x
  2. Step 2: Convert to fraction form
    202.78/281.28 = 195.49/x
  3. Step 3: Cross multiply
    202.78x = 281.28 × 195.49
  4. Step 4: Simplify right side
    202.78x = 54,986.45
  5. Step 5: Solve for x
    x = 54,986.45/202.78
  6. Step 6: Final answer
    x = 271.16

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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.