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Finding the Fourth Proportional to 204.75, 284.04 and 194.73

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Solution

The fourth proportional to 204.75, 284.04 and 194.73 is: 270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 284.04 = 194.73 : x
  2. Step 2: Convert to fraction form
    204.75/284.04 = 194.73/x
  3. Step 3: Cross multiply
    204.75x = 284.04 × 194.73
  4. Step 4: Simplify right side
    204.75x = 55,311.11
  5. Step 5: Solve for x
    x = 55,311.11/204.75
  6. Step 6: Final answer
    x = 270.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.