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Finding the Fourth Proportional to 198.85, 272.78 and 190.45

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Solution

The fourth proportional to 198.85, 272.78 and 190.45 is: 261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.85 : 272.78 = 190.45 : x
  2. Step 2: Convert to fraction form
    198.85/272.78 = 190.45/x
  3. Step 3: Cross multiply
    198.85x = 272.78 × 190.45
  4. Step 4: Simplify right side
    198.85x = 51,950.95
  5. Step 5: Solve for x
    x = 51,950.95/198.85
  6. Step 6: Final answer
    x = 261.26

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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.