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Finding the Fourth Proportional to 198.08, 272.08 and 194.24

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Solution

The fourth proportional to 198.08, 272.08 and 194.24 is: 266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.08 : 272.08 = 194.24 : x
  2. Step 2: Convert to fraction form
    198.08/272.08 = 194.24/x
  3. Step 3: Cross multiply
    198.08x = 272.08 × 194.24
  4. Step 4: Simplify right side
    198.08x = 52,848.82
  5. Step 5: Solve for x
    x = 52,848.82/198.08
  6. Step 6: Final answer
    x = 266.81

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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.