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Finding the Fourth Proportional to 204.85, 305.38 and 196.66

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Solution

The fourth proportional to 204.85, 305.38 and 196.66 is: 293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.85 : 305.38 = 196.66 : x
  2. Step 2: Convert to fraction form
    204.85/305.38 = 196.66/x
  3. Step 3: Cross multiply
    204.85x = 305.38 × 196.66
  4. Step 4: Simplify right side
    204.85x = 60,056.03
  5. Step 5: Solve for x
    x = 60,056.03/204.85
  6. Step 6: Final answer
    x = 293.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.