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Finding the Fourth Proportional to 197.19, 273.35 and 189.50

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Solution

The fourth proportional to 197.19, 273.35 and 189.50 is: 262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.19 : 273.35 = 189.50 : x
  2. Step 2: Convert to fraction form
    197.19/273.35 = 189.50/x
  3. Step 3: Cross multiply
    197.19x = 273.35 × 189.50
  4. Step 4: Simplify right side
    197.19x = 51,797.51
  5. Step 5: Solve for x
    x = 51,797.51/197.19
  6. Step 6: Final answer
    x = 262.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.