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Finding the Fourth Proportional to 238.04, 327.65 and 208.46

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Solution

The fourth proportional to 238.04, 327.65 and 208.46 is: 286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.04 : 327.65 = 208.46 : x
  2. Step 2: Convert to fraction form
    238.04/327.65 = 208.46/x
  3. Step 3: Cross multiply
    238.04x = 327.65 × 208.46
  4. Step 4: Simplify right side
    238.04x = 68,301.03
  5. Step 5: Solve for x
    x = 68,301.03/238.04
  6. Step 6: Final answer
    x = 286.94

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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.