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Finding the Fourth Proportional to 279.12, 382.96 and 254.44

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Solution

The fourth proportional to 279.12, 382.96 and 254.44 is: 349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.12 : 382.96 = 254.44 : x
  2. Step 2: Convert to fraction form
    279.12/382.96 = 254.44/x
  3. Step 3: Cross multiply
    279.12x = 382.96 × 254.44
  4. Step 4: Simplify right side
    279.12x = 97,440.34
  5. Step 5: Solve for x
    x = 97,440.34/279.12
  6. Step 6: Final answer
    x = 349.10

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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.