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Finding the Fourth Proportional to 197.85, 273.21 and 128.03

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Solution

The fourth proportional to 197.85, 273.21 and 128.03 is: 176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.85 : 273.21 = 128.03 : x
  2. Step 2: Convert to fraction form
    197.85/273.21 = 128.03/x
  3. Step 3: Cross multiply
    197.85x = 273.21 × 128.03
  4. Step 4: Simplify right side
    197.85x = 34,977.71
  5. Step 5: Solve for x
    x = 34,977.71/197.85
  6. Step 6: Final answer
    x = 176.79

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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.