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Finding the Fourth Proportional to 205.87, 306.77 and 198.13

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Solution

The fourth proportional to 205.87, 306.77 and 198.13 is: 295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.87 : 306.77 = 198.13 : x
  2. Step 2: Convert to fraction form
    205.87/306.77 = 198.13/x
  3. Step 3: Cross multiply
    205.87x = 306.77 × 198.13
  4. Step 4: Simplify right side
    205.87x = 60,780.34
  5. Step 5: Solve for x
    x = 60,780.34/205.87
  6. Step 6: Final answer
    x = 295.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.