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Finding the Fourth Proportional to 197.32, 272.30 and 108.80

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Solution

The fourth proportional to 197.32, 272.30 and 108.80 is: 150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.32 : 272.30 = 108.80 : x
  2. Step 2: Convert to fraction form
    197.32/272.30 = 108.80/x
  3. Step 3: Cross multiply
    197.32x = 272.30 × 108.80
  4. Step 4: Simplify right side
    197.32x = 29,626.24
  5. Step 5: Solve for x
    x = 29,626.24/197.32
  6. Step 6: Final answer
    x = 150.14

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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.