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Finding the Fourth Proportional to 197.91, 273.05 and 139.77

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Solution

The fourth proportional to 197.91, 273.05 and 139.77 is: 192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.91 : 273.05 = 139.77 : x
  2. Step 2: Convert to fraction form
    197.91/273.05 = 139.77/x
  3. Step 3: Cross multiply
    197.91x = 273.05 × 139.77
  4. Step 4: Simplify right side
    197.91x = 38,163.50
  5. Step 5: Solve for x
    x = 38,163.50/197.91
  6. Step 6: Final answer
    x = 192.83

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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.