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Finding the Fourth Proportional to 198.22, 273.36 and 139.90

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Solution

The fourth proportional to 198.22, 273.36 and 139.90 is: 192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.22 : 273.36 = 139.90 : x
  2. Step 2: Convert to fraction form
    198.22/273.36 = 139.90/x
  3. Step 3: Cross multiply
    198.22x = 273.36 × 139.90
  4. Step 4: Simplify right side
    198.22x = 38,243.06
  5. Step 5: Solve for x
    x = 38,243.06/198.22
  6. Step 6: Final answer
    x = 192.93

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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.