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Finding the Fourth Proportional to 198.51, 274.01 and 142.54

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Solution

The fourth proportional to 198.51, 274.01 and 142.54 is: 196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.51 : 274.01 = 142.54 : x
  2. Step 2: Convert to fraction form
    198.51/274.01 = 142.54/x
  3. Step 3: Cross multiply
    198.51x = 274.01 × 142.54
  4. Step 4: Simplify right side
    198.51x = 39,057.93
  5. Step 5: Solve for x
    x = 39,057.93/198.51
  6. Step 6: Final answer
    x = 196.76

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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.