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Finding the Fourth Proportional to 279.66, 422.00 and 268.43

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Solution

The fourth proportional to 279.66, 422.00 and 268.43 is: 405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.66 : 422.00 = 268.43 : x
  2. Step 2: Convert to fraction form
    279.66/422.00 = 268.43/x
  3. Step 3: Cross multiply
    279.66x = 422.00 × 268.43
  4. Step 4: Simplify right side
    279.66x = 113,274.01
  5. Step 5: Solve for x
    x = 113,274.01/279.66
  6. Step 6: Final answer
    x = 405.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.