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Finding the Fourth Proportional to 237.78, 326.97 and 197.91

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Solution

The fourth proportional to 237.78, 326.97 and 197.91 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.78 : 326.97 = 197.91 : x
  2. Step 2: Convert to fraction form
    237.78/326.97 = 197.91/x
  3. Step 3: Cross multiply
    237.78x = 326.97 × 197.91
  4. Step 4: Simplify right side
    237.78x = 64,710.63
  5. Step 5: Solve for x
    x = 64,710.63/237.78
  6. Step 6: Final answer
    x = 272.14

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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.