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Finding the Fourth Proportional to 197.85, 272.99 and 120.21

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Solution

The fourth proportional to 197.85, 272.99 and 120.21 is: 165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.85 : 272.99 = 120.21 : x
  2. Step 2: Convert to fraction form
    197.85/272.99 = 120.21/x
  3. Step 3: Cross multiply
    197.85x = 272.99 × 120.21
  4. Step 4: Simplify right side
    197.85x = 32,815.53
  5. Step 5: Solve for x
    x = 32,815.53/197.85
  6. Step 6: Final answer
    x = 165.86

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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.