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Finding the Fourth Proportional to 279.70, 386.28 and 249.16

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Solution

The fourth proportional to 279.70, 386.28 and 249.16 is: 344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.70 : 386.28 = 249.16 : x
  2. Step 2: Convert to fraction form
    279.70/386.28 = 249.16/x
  3. Step 3: Cross multiply
    279.70x = 386.28 × 249.16
  4. Step 4: Simplify right side
    279.70x = 96,245.52
  5. Step 5: Solve for x
    x = 96,245.52/279.70
  6. Step 6: Final answer
    x = 344.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.