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Finding the Fourth Proportional to 268.59, 402.48 and 199.79

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Solution

The fourth proportional to 268.59, 402.48 and 199.79 is: 299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.59 : 402.48 = 199.79 : x
  2. Step 2: Convert to fraction form
    268.59/402.48 = 199.79/x
  3. Step 3: Cross multiply
    268.59x = 402.48 × 199.79
  4. Step 4: Simplify right side
    268.59x = 80,411.48
  5. Step 5: Solve for x
    x = 80,411.48/268.59
  6. Step 6: Final answer
    x = 299.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.