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Finding the Fourth Proportional to 197.95, 273.07 and 127.89

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Solution

The fourth proportional to 197.95, 273.07 and 127.89 is: 176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.95 : 273.07 = 127.89 : x
  2. Step 2: Convert to fraction form
    197.95/273.07 = 127.89/x
  3. Step 3: Cross multiply
    197.95x = 273.07 × 127.89
  4. Step 4: Simplify right side
    197.95x = 34,922.92
  5. Step 5: Solve for x
    x = 34,922.92/197.95
  6. Step 6: Final answer
    x = 176.42

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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.