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Finding the Fourth Proportional to 204.97, 282.99 and 142.78

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Solution

The fourth proportional to 204.97, 282.99 and 142.78 is: 197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.97 : 282.99 = 142.78 : x
  2. Step 2: Convert to fraction form
    204.97/282.99 = 142.78/x
  3. Step 3: Cross multiply
    204.97x = 282.99 × 142.78
  4. Step 4: Simplify right side
    204.97x = 40,405.31
  5. Step 5: Solve for x
    x = 40,405.31/204.97
  6. Step 6: Final answer
    x = 197.13

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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.