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Finding the Fourth Proportional to 204.11, 305.00 and 199.49

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Solution

The fourth proportional to 204.11, 305.00 and 199.49 is: 298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.11 : 305.00 = 199.49 : x
  2. Step 2: Convert to fraction form
    204.11/305.00 = 199.49/x
  3. Step 3: Cross multiply
    204.11x = 305.00 × 199.49
  4. Step 4: Simplify right side
    204.11x = 60,843.83
  5. Step 5: Solve for x
    x = 60,843.83/204.11
  6. Step 6: Final answer
    x = 298.10

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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.