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Finding the Fourth Proportional to 197.60, 273.96 and 186.08

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Solution

The fourth proportional to 197.60, 273.96 and 186.08 is: 257.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.60 : 273.96 = 186.08 : x
  2. Step 2: Convert to fraction form
    197.60/273.96 = 186.08/x
  3. Step 3: Cross multiply
    197.60x = 273.96 × 186.08
  4. Step 4: Simplify right side
    197.60x = 50,978.48
  5. Step 5: Solve for x
    x = 50,978.48/197.60
  6. Step 6: Final answer
    x = 257.99

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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.