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Finding the Fourth Proportional to 237.22, 326.82 and 197.74

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Solution

The fourth proportional to 237.22, 326.82 and 197.74 is: 272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.22 : 326.82 = 197.74 : x
  2. Step 2: Convert to fraction form
    237.22/326.82 = 197.74/x
  3. Step 3: Cross multiply
    237.22x = 326.82 × 197.74
  4. Step 4: Simplify right side
    237.22x = 64,625.39
  5. Step 5: Solve for x
    x = 64,625.39/237.22
  6. Step 6: Final answer
    x = 272.43

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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.