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Finding the Fourth Proportional to 204.67, 280.78 and 198.51

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Solution

The fourth proportional to 204.67, 280.78 and 198.51 is: 272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.67 : 280.78 = 198.51 : x
  2. Step 2: Convert to fraction form
    204.67/280.78 = 198.51/x
  3. Step 3: Cross multiply
    204.67x = 280.78 × 198.51
  4. Step 4: Simplify right side
    204.67x = 55,737.64
  5. Step 5: Solve for x
    x = 55,737.64/204.67
  6. Step 6: Final answer
    x = 272.33

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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.