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Finding the Fourth Proportional to 248.20, 340.02 and 238.97

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Solution

The fourth proportional to 248.20, 340.02 and 238.97 is: 327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.20 : 340.02 = 238.97 : x
  2. Step 2: Convert to fraction form
    248.20/340.02 = 238.97/x
  3. Step 3: Cross multiply
    248.20x = 340.02 × 238.97
  4. Step 4: Simplify right side
    248.20x = 81,252.88
  5. Step 5: Solve for x
    x = 81,252.88/248.20
  6. Step 6: Final answer
    x = 327.38

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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.