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Finding the Fourth Proportional to 204.10, 281.91 and 142

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Solution

The fourth proportional to 204.10, 281.91 and 142 is: 196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.10 : 281.91 = 142 : x
  2. Step 2: Convert to fraction form
    204.10/281.91 = 142/x
  3. Step 3: Cross multiply
    204.10x = 281.91 × 142
  4. Step 4: Simplify right side
    204.10x = 40,031.22
  5. Step 5: Solve for x
    x = 40,031.22/204.10
  6. Step 6: Final answer
    x = 196.14

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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.