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Finding the Fourth Proportional to 197.89, 272.96 and 119.15

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Solution

The fourth proportional to 197.89, 272.96 and 119.15 is: 164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.89 : 272.96 = 119.15 : x
  2. Step 2: Convert to fraction form
    197.89/272.96 = 119.15/x
  3. Step 3: Cross multiply
    197.89x = 272.96 × 119.15
  4. Step 4: Simplify right side
    197.89x = 32,523.30
  5. Step 5: Solve for x
    x = 32,523.30/197.89
  6. Step 6: Final answer
    x = 164.35

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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.