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Finding the Fourth Proportional to 204.56, 281.99 and 142.29

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Solution

The fourth proportional to 204.56, 281.99 and 142.29 is: 196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.56 : 281.99 = 142.29 : x
  2. Step 2: Convert to fraction form
    204.56/281.99 = 142.29/x
  3. Step 3: Cross multiply
    204.56x = 281.99 × 142.29
  4. Step 4: Simplify right side
    204.56x = 40,123.65
  5. Step 5: Solve for x
    x = 40,123.65/204.56
  6. Step 6: Final answer
    x = 196.15

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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.