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Finding the Fourth Proportional to 198.82, 274.38 and 139.76

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Solution

The fourth proportional to 198.82, 274.38 and 139.76 is: 192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.82 : 274.38 = 139.76 : x
  2. Step 2: Convert to fraction form
    198.82/274.38 = 139.76/x
  3. Step 3: Cross multiply
    198.82x = 274.38 × 139.76
  4. Step 4: Simplify right side
    198.82x = 38,347.35
  5. Step 5: Solve for x
    x = 38,347.35/198.82
  6. Step 6: Final answer
    x = 192.87

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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.