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Finding the Fourth Proportional to 237.20, 327.65 and 197.99

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Solution

The fourth proportional to 237.20, 327.65 and 197.99 is: 273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.20 : 327.65 = 197.99 : x
  2. Step 2: Convert to fraction form
    237.20/327.65 = 197.99/x
  3. Step 3: Cross multiply
    237.20x = 327.65 × 197.99
  4. Step 4: Simplify right side
    237.20x = 64,871.42
  5. Step 5: Solve for x
    x = 64,871.42/237.20
  6. Step 6: Final answer
    x = 273.49

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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.