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Finding the Fourth Proportional to 237.37, 327.59 and 198.49

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Solution

The fourth proportional to 237.37, 327.59 and 198.49 is: 273.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.37 : 327.59 = 198.49 : x
  2. Step 2: Convert to fraction form
    237.37/327.59 = 198.49/x
  3. Step 3: Cross multiply
    237.37x = 327.59 × 198.49
  4. Step 4: Simplify right side
    237.37x = 65,023.34
  5. Step 5: Solve for x
    x = 65,023.34/237.37
  6. Step 6: Final answer
    x = 273.93

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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.