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Finding the Fourth Proportional to 204.90, 305.46 and 196.38

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Solution

The fourth proportional to 204.90, 305.46 and 196.38 is: 292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.90 : 305.46 = 196.38 : x
  2. Step 2: Convert to fraction form
    204.90/305.46 = 196.38/x
  3. Step 3: Cross multiply
    204.90x = 305.46 × 196.38
  4. Step 4: Simplify right side
    204.90x = 59,986.23
  5. Step 5: Solve for x
    x = 59,986.23/204.90
  6. Step 6: Final answer
    x = 292.76

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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.