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Finding the Fourth Proportional to 238.46, 327.68 and 199.58

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Solution

The fourth proportional to 238.46, 327.68 and 199.58 is: 274.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.46 : 327.68 = 199.58 : x
  2. Step 2: Convert to fraction form
    238.46/327.68 = 199.58/x
  3. Step 3: Cross multiply
    238.46x = 327.68 × 199.58
  4. Step 4: Simplify right side
    238.46x = 65,398.37
  5. Step 5: Solve for x
    x = 65,398.37/238.46
  6. Step 6: Final answer
    x = 274.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.