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Finding the Fourth Proportional to 205.11, 308.09 and 168.66

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Solution

The fourth proportional to 205.11, 308.09 and 168.66 is: 253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.11 : 308.09 = 168.66 : x
  2. Step 2: Convert to fraction form
    205.11/308.09 = 168.66/x
  3. Step 3: Cross multiply
    205.11x = 308.09 × 168.66
  4. Step 4: Simplify right side
    205.11x = 51,961.62
  5. Step 5: Solve for x
    x = 51,961.62/205.11
  6. Step 6: Final answer
    x = 253.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.