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Finding the Fourth Proportional to 205.11, 307.68 and 113.85

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Solution

The fourth proportional to 205.11, 307.68 and 113.85 is: 170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.11 : 307.68 = 113.85 : x
  2. Step 2: Convert to fraction form
    205.11/307.68 = 113.85/x
  3. Step 3: Cross multiply
    205.11x = 307.68 × 113.85
  4. Step 4: Simplify right side
    205.11x = 35,029.37
  5. Step 5: Solve for x
    x = 35,029.37/205.11
  6. Step 6: Final answer
    x = 170.78

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Why These Related Problems?

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