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Finding the Fourth Proportional to 280.61, 386.30 and 249.48

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Solution

The fourth proportional to 280.61, 386.30 and 249.48 is: 343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.61 : 386.30 = 249.48 : x
  2. Step 2: Convert to fraction form
    280.61/386.30 = 249.48/x
  3. Step 3: Cross multiply
    280.61x = 386.30 × 249.48
  4. Step 4: Simplify right side
    280.61x = 96,372.19
  5. Step 5: Solve for x
    x = 96,372.19/280.61
  6. Step 6: Final answer
    x = 343.44

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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.