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Finding the Fourth Proportional to 197.83, 273.00 and 109.31

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Solution

The fourth proportional to 197.83, 273.00 and 109.31 is: 150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.83 : 273.00 = 109.31 : x
  2. Step 2: Convert to fraction form
    197.83/273.00 = 109.31/x
  3. Step 3: Cross multiply
    197.83x = 273.00 × 109.31
  4. Step 4: Simplify right side
    197.83x = 29,839.72
  5. Step 5: Solve for x
    x = 29,839.72/197.83
  6. Step 6: Final answer
    x = 150.84

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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.