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Finding the Fourth Proportional to 204.48, 281.84 and 142.43

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Solution

The fourth proportional to 204.48, 281.84 and 142.43 is: 196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.48 : 281.84 = 142.43 : x
  2. Step 2: Convert to fraction form
    204.48/281.84 = 142.43/x
  3. Step 3: Cross multiply
    204.48x = 281.84 × 142.43
  4. Step 4: Simplify right side
    204.48x = 40,140.35
  5. Step 5: Solve for x
    x = 40,140.35/204.48
  6. Step 6: Final answer
    x = 196.30

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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.