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Finding the Fourth Proportional to 198.71, 274.31 and 139.82

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Solution

The fourth proportional to 198.71, 274.31 and 139.82 is: 193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.71 : 274.31 = 139.82 : x
  2. Step 2: Convert to fraction form
    198.71/274.31 = 139.82/x
  3. Step 3: Cross multiply
    198.71x = 274.31 × 139.82
  4. Step 4: Simplify right side
    198.71x = 38,354.02
  5. Step 5: Solve for x
    x = 38,354.02/198.71
  6. Step 6: Final answer
    x = 193.02

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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.