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Finding the Fourth Proportional to 198.52, 274.06 and 140.68

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Solution

The fourth proportional to 198.52, 274.06 and 140.68 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.52 : 274.06 = 140.68 : x
  2. Step 2: Convert to fraction form
    198.52/274.06 = 140.68/x
  3. Step 3: Cross multiply
    198.52x = 274.06 × 140.68
  4. Step 4: Simplify right side
    198.52x = 38,554.76
  5. Step 5: Solve for x
    x = 38,554.76/198.52
  6. Step 6: Final answer
    x = 194.21

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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.