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Finding the Fourth Proportional to 268.08, 367.87 and 243.44

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Solution

The fourth proportional to 268.08, 367.87 and 243.44 is: 334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.08 : 367.87 = 243.44 : x
  2. Step 2: Convert to fraction form
    268.08/367.87 = 243.44/x
  3. Step 3: Cross multiply
    268.08x = 367.87 × 243.44
  4. Step 4: Simplify right side
    268.08x = 89,554.27
  5. Step 5: Solve for x
    x = 89,554.27/268.08
  6. Step 6: Final answer
    x = 334.06

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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.