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Finding the Fourth Proportional to 204.70, 284.05 and 196.78

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Solution

The fourth proportional to 204.70, 284.05 and 196.78 is: 273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.70 : 284.05 = 196.78 : x
  2. Step 2: Convert to fraction form
    204.70/284.05 = 196.78/x
  3. Step 3: Cross multiply
    204.70x = 284.05 × 196.78
  4. Step 4: Simplify right side
    204.70x = 55,895.36
  5. Step 5: Solve for x
    x = 55,895.36/204.70
  6. Step 6: Final answer
    x = 273.06

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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.