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Finding the Fourth Proportional to 268.49, 368.48 and 243.90

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Solution

The fourth proportional to 268.49, 368.48 and 243.90 is: 334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.49 : 368.48 = 243.90 : x
  2. Step 2: Convert to fraction form
    268.49/368.48 = 243.90/x
  3. Step 3: Cross multiply
    268.49x = 368.48 × 243.90
  4. Step 4: Simplify right side
    268.49x = 89,872.88
  5. Step 5: Solve for x
    x = 89,872.88/268.49
  6. Step 6: Final answer
    x = 334.73

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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.