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Finding the Fourth Proportional to 198.96, 274.13 and 142.90

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Solution

The fourth proportional to 198.96, 274.13 and 142.90 is: 196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.96 : 274.13 = 142.90 : x
  2. Step 2: Convert to fraction form
    198.96/274.13 = 142.90/x
  3. Step 3: Cross multiply
    198.96x = 274.13 × 142.90
  4. Step 4: Simplify right side
    198.96x = 39,172.54
  5. Step 5: Solve for x
    x = 39,172.54/198.96
  6. Step 6: Final answer
    x = 196.89

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Why These Related Problems?

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