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Finding the Fourth Proportional to 205.79, 307.19 and 198.09

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Solution

The fourth proportional to 205.79, 307.19 and 198.09 is: 295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.79 : 307.19 = 198.09 : x
  2. Step 2: Convert to fraction form
    205.79/307.19 = 198.09/x
  3. Step 3: Cross multiply
    205.79x = 307.19 × 198.09
  4. Step 4: Simplify right side
    205.79x = 60,851.76
  5. Step 5: Solve for x
    x = 60,851.76/205.79
  6. Step 6: Final answer
    x = 295.71

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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.