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Finding the Fourth Proportional to 209.03, 286.60 and 198.59

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Solution

The fourth proportional to 209.03, 286.60 and 198.59 is: 272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.03 : 286.60 = 198.59 : x
  2. Step 2: Convert to fraction form
    209.03/286.60 = 198.59/x
  3. Step 3: Cross multiply
    209.03x = 286.60 × 198.59
  4. Step 4: Simplify right side
    209.03x = 56,915.89
  5. Step 5: Solve for x
    x = 56,915.89/209.03
  6. Step 6: Final answer
    x = 272.29

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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.