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Finding the Fourth Proportional to 237.53, 329.06 and 231.86

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Solution

The fourth proportional to 237.53, 329.06 and 231.86 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.53 : 329.06 = 231.86 : x
  2. Step 2: Convert to fraction form
    237.53/329.06 = 231.86/x
  3. Step 3: Cross multiply
    237.53x = 329.06 × 231.86
  4. Step 4: Simplify right side
    237.53x = 76,297.25
  5. Step 5: Solve for x
    x = 76,297.25/237.53
  6. Step 6: Final answer
    x = 321.21

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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.