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Finding the Fourth Proportional to 205.91, 286.15 and 203.33

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Solution

The fourth proportional to 205.91, 286.15 and 203.33 is: 282.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.91 : 286.15 = 203.33 : x
  2. Step 2: Convert to fraction form
    205.91/286.15 = 203.33/x
  3. Step 3: Cross multiply
    205.91x = 286.15 × 203.33
  4. Step 4: Simplify right side
    205.91x = 58,181.86
  5. Step 5: Solve for x
    x = 58,181.86/205.91
  6. Step 6: Final answer
    x = 282.56

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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.