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Finding the Fourth Proportional to 249.16, 343.41 and 205.03

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Solution

The fourth proportional to 249.16, 343.41 and 205.03 is: 282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.16 : 343.41 = 205.03 : x
  2. Step 2: Convert to fraction form
    249.16/343.41 = 205.03/x
  3. Step 3: Cross multiply
    249.16x = 343.41 × 205.03
  4. Step 4: Simplify right side
    249.16x = 70,409.35
  5. Step 5: Solve for x
    x = 70,409.35/249.16
  6. Step 6: Final answer
    x = 282.59

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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.