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Finding the Fourth Proportional to 198.23, 273.26 and 139.91

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Solution

The fourth proportional to 198.23, 273.26 and 139.91 is: 192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.23 : 273.26 = 139.91 : x
  2. Step 2: Convert to fraction form
    198.23/273.26 = 139.91/x
  3. Step 3: Cross multiply
    198.23x = 273.26 × 139.91
  4. Step 4: Simplify right side
    198.23x = 38,230.79
  5. Step 5: Solve for x
    x = 38,230.79/198.23
  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.