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Finding the Fourth Proportional to 198.82, 276.02 and 192.88

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Solution

The fourth proportional to 198.82, 276.02 and 192.88 is: 267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.82 : 276.02 = 192.88 : x
  2. Step 2: Convert to fraction form
    198.82/276.02 = 192.88/x
  3. Step 3: Cross multiply
    198.82x = 276.02 × 192.88
  4. Step 4: Simplify right side
    198.82x = 53,238.74
  5. Step 5: Solve for x
    x = 53,238.74/198.82
  6. Step 6: Final answer
    x = 267.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.