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Finding the Fourth Proportional to 204.21, 281.76 and 142.17

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Solution

The fourth proportional to 204.21, 281.76 and 142.17 is: 196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.21 : 281.76 = 142.17 : x
  2. Step 2: Convert to fraction form
    204.21/281.76 = 142.17/x
  3. Step 3: Cross multiply
    204.21x = 281.76 × 142.17
  4. Step 4: Simplify right side
    204.21x = 40,057.82
  5. Step 5: Solve for x
    x = 40,057.82/204.21
  6. Step 6: Final answer
    x = 196.16

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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.