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Finding the Fourth Proportional to 204.12, 305.98 and 126.97

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Solution

The fourth proportional to 204.12, 305.98 and 126.97 is: 190.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.12 : 305.98 = 126.97 : x
  2. Step 2: Convert to fraction form
    204.12/305.98 = 126.97/x
  3. Step 3: Cross multiply
    204.12x = 305.98 × 126.97
  4. Step 4: Simplify right side
    204.12x = 38,849.20
  5. Step 5: Solve for x
    x = 38,849.20/204.12
  6. Step 6: Final answer
    x = 190.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.