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Finding the Fourth Proportional to 197.39, 273.66 and 186.45

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Solution

The fourth proportional to 197.39, 273.66 and 186.45 is: 258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.39 : 273.66 = 186.45 : x
  2. Step 2: Convert to fraction form
    197.39/273.66 = 186.45/x
  3. Step 3: Cross multiply
    197.39x = 273.66 × 186.45
  4. Step 4: Simplify right side
    197.39x = 51,023.91
  5. Step 5: Solve for x
    x = 51,023.91/197.39
  6. Step 6: Final answer
    x = 258.50

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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.