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Finding the Fourth Proportional to 198.93, 274.49 and 120.24

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Solution

The fourth proportional to 198.93, 274.49 and 120.24 is: 165.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.93 : 274.49 = 120.24 : x
  2. Step 2: Convert to fraction form
    198.93/274.49 = 120.24/x
  3. Step 3: Cross multiply
    198.93x = 274.49 × 120.24
  4. Step 4: Simplify right side
    198.93x = 33,005.30
  5. Step 5: Solve for x
    x = 33,005.30/198.93
  6. Step 6: Final answer
    x = 165.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.