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Finding the Fourth Proportional to 197.05, 272.20 and 157.96

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Solution

The fourth proportional to 197.05, 272.20 and 157.96 is: 218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.05 : 272.20 = 157.96 : x
  2. Step 2: Convert to fraction form
    197.05/272.20 = 157.96/x
  3. Step 3: Cross multiply
    197.05x = 272.20 × 157.96
  4. Step 4: Simplify right side
    197.05x = 42,995.92
  5. Step 5: Solve for x
    x = 42,995.92/197.05
  6. Step 6: Final answer
    x = 218.20

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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.