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Finding the Fourth Proportional to 196.98, 273.11 and 190.32

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Solution

The fourth proportional to 196.98, 273.11 and 190.32 is: 263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.98 : 273.11 = 190.32 : x
  2. Step 2: Convert to fraction form
    196.98/273.11 = 190.32/x
  3. Step 3: Cross multiply
    196.98x = 273.11 × 190.32
  4. Step 4: Simplify right side
    196.98x = 51,978.30
  5. Step 5: Solve for x
    x = 51,978.30/196.98
  6. Step 6: Final answer
    x = 263.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.