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Finding the Fourth Proportional to 204.85, 282.86 and 142.75

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Solution

The fourth proportional to 204.85, 282.86 and 142.75 is: 197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.85 : 282.86 = 142.75 : x
  2. Step 2: Convert to fraction form
    204.85/282.86 = 142.75/x
  3. Step 3: Cross multiply
    204.85x = 282.86 × 142.75
  4. Step 4: Simplify right side
    204.85x = 40,378.27
  5. Step 5: Solve for x
    x = 40,378.27/204.85
  6. Step 6: Final answer
    x = 197.11

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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.