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Finding the Fourth Proportional to 238.05, 327.74 and 221.49

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Solution

The fourth proportional to 238.05, 327.74 and 221.49 is: 304.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.05 : 327.74 = 221.49 : x
  2. Step 2: Convert to fraction form
    238.05/327.74 = 221.49/x
  3. Step 3: Cross multiply
    238.05x = 327.74 × 221.49
  4. Step 4: Simplify right side
    238.05x = 72,590.03
  5. Step 5: Solve for x
    x = 72,590.03/238.05
  6. Step 6: Final answer
    x = 304.94

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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.