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Finding the Fourth Proportional to 238.47, 355.97 and 219.21

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Solution

The fourth proportional to 238.47, 355.97 and 219.21 is: 327.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.47 : 355.97 = 219.21 : x
  2. Step 2: Convert to fraction form
    238.47/355.97 = 219.21/x
  3. Step 3: Cross multiply
    238.47x = 355.97 × 219.21
  4. Step 4: Simplify right side
    238.47x = 78,031.09
  5. Step 5: Solve for x
    x = 78,031.09/238.47
  6. Step 6: Final answer
    x = 327.22

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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.