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Finding the Fourth Proportional to 198.88, 272.35 and 198.20

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Solution

The fourth proportional to 198.88, 272.35 and 198.20 is: 271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.88 : 272.35 = 198.20 : x
  2. Step 2: Convert to fraction form
    198.88/272.35 = 198.20/x
  3. Step 3: Cross multiply
    198.88x = 272.35 × 198.20
  4. Step 4: Simplify right side
    198.88x = 53,978.89
  5. Step 5: Solve for x
    x = 53,978.89/198.88
  6. Step 6: Final answer
    x = 271.41

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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.