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Finding the Fourth Proportional to 289.82, 398.41 and 249.80

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Solution

The fourth proportional to 289.82, 398.41 and 249.80 is: 343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.82 : 398.41 = 249.80 : x
  2. Step 2: Convert to fraction form
    289.82/398.41 = 249.80/x
  3. Step 3: Cross multiply
    289.82x = 398.41 × 249.80
  4. Step 4: Simplify right side
    289.82x = 99,519.58
  5. Step 5: Solve for x
    x = 99,519.58/289.82
  6. Step 6: Final answer
    x = 343.38

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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.