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Finding the Fourth Proportional to 198.02, 273.14 and 127.96

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Solution

The fourth proportional to 198.02, 273.14 and 127.96 is: 176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.02 : 273.14 = 127.96 : x
  2. Step 2: Convert to fraction form
    198.02/273.14 = 127.96/x
  3. Step 3: Cross multiply
    198.02x = 273.14 × 127.96
  4. Step 4: Simplify right side
    198.02x = 34,949.67
  5. Step 5: Solve for x
    x = 34,949.67/198.02
  6. Step 6: Final answer
    x = 176.50

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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.