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Finding the Fourth Proportional to 205.89, 286.02 and 202.52

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Solution

The fourth proportional to 205.89, 286.02 and 202.52 is: 281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.89 : 286.02 = 202.52 : x
  2. Step 2: Convert to fraction form
    205.89/286.02 = 202.52/x
  3. Step 3: Cross multiply
    205.89x = 286.02 × 202.52
  4. Step 4: Simplify right side
    205.89x = 57,923.34
  5. Step 5: Solve for x
    x = 57,923.34/205.89
  6. Step 6: Final answer
    x = 281.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.