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Finding the Fourth Proportional to 238.12, 327.56 and 208.48

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Solution

The fourth proportional to 238.12, 327.56 and 208.48 is: 286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.12 : 327.56 = 208.48 : x
  2. Step 2: Convert to fraction form
    238.12/327.56 = 208.48/x
  3. Step 3: Cross multiply
    238.12x = 327.56 × 208.48
  4. Step 4: Simplify right side
    238.12x = 68,289.71
  5. Step 5: Solve for x
    x = 68,289.71/238.12
  6. Step 6: Final answer
    x = 286.79

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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.