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Finding the Fourth Proportional to 204.52, 280.39 and 199.08

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Solution

The fourth proportional to 204.52, 280.39 and 199.08 is: 272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.52 : 280.39 = 199.08 : x
  2. Step 2: Convert to fraction form
    204.52/280.39 = 199.08/x
  3. Step 3: Cross multiply
    204.52x = 280.39 × 199.08
  4. Step 4: Simplify right side
    204.52x = 55,820.04
  5. Step 5: Solve for x
    x = 55,820.04/204.52
  6. Step 6: Final answer
    x = 272.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.