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Finding the Fourth Proportional to 238.12, 355.48 and 221.20

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Solution

The fourth proportional to 238.12, 355.48 and 221.20 is: 330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.12 : 355.48 = 221.20 : x
  2. Step 2: Convert to fraction form
    238.12/355.48 = 221.20/x
  3. Step 3: Cross multiply
    238.12x = 355.48 × 221.20
  4. Step 4: Simplify right side
    238.12x = 78,632.18
  5. Step 5: Solve for x
    x = 78,632.18/238.12
  6. Step 6: Final answer
    x = 330.22

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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.