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Finding the Fourth Proportional to 237.80, 329.84 and 231.48

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Solution

The fourth proportional to 237.80, 329.84 and 231.48 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.80 : 329.84 = 231.48 : x
  2. Step 2: Convert to fraction form
    237.80/329.84 = 231.48/x
  3. Step 3: Cross multiply
    237.80x = 329.84 × 231.48
  4. Step 4: Simplify right side
    237.80x = 76,351.94
  5. Step 5: Solve for x
    x = 76,351.94/237.80
  6. Step 6: Final answer
    x = 321.08

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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.