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Finding the Fourth Proportional to 197.64, 273.85 and 193.16

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Solution

The fourth proportional to 197.64, 273.85 and 193.16 is: 267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.64 : 273.85 = 193.16 : x
  2. Step 2: Convert to fraction form
    197.64/273.85 = 193.16/x
  3. Step 3: Cross multiply
    197.64x = 273.85 × 193.16
  4. Step 4: Simplify right side
    197.64x = 52,896.87
  5. Step 5: Solve for x
    x = 52,896.87/197.64
  6. Step 6: Final answer
    x = 267.64

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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.