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Finding the Fourth Proportional to 204.22, 281.78 and 142.03

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Solution

The fourth proportional to 204.22, 281.78 and 142.03 is: 195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.22 : 281.78 = 142.03 : x
  2. Step 2: Convert to fraction form
    204.22/281.78 = 142.03/x
  3. Step 3: Cross multiply
    204.22x = 281.78 × 142.03
  4. Step 4: Simplify right side
    204.22x = 40,021.21
  5. Step 5: Solve for x
    x = 40,021.21/204.22
  6. Step 6: Final answer
    x = 195.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.