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Finding the Fourth Proportional to 238.44, 355.17 and 212.52

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Solution

The fourth proportional to 238.44, 355.17 and 212.52 is: 316.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.44 : 355.17 = 212.52 : x
  2. Step 2: Convert to fraction form
    238.44/355.17 = 212.52/x
  3. Step 3: Cross multiply
    238.44x = 355.17 × 212.52
  4. Step 4: Simplify right side
    238.44x = 75,480.73
  5. Step 5: Solve for x
    x = 75,480.73/238.44
  6. Step 6: Final answer
    x = 316.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.