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Finding the Fourth Proportional to 209.18, 286.99 and 198.86

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Solution

The fourth proportional to 209.18, 286.99 and 198.86 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.18 : 286.99 = 198.86 : x
  2. Step 2: Convert to fraction form
    209.18/286.99 = 198.86/x
  3. Step 3: Cross multiply
    209.18x = 286.99 × 198.86
  4. Step 4: Simplify right side
    209.18x = 57,070.02
  5. Step 5: Solve for x
    x = 57,070.02/209.18
  6. Step 6: Final answer
    x = 272.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.