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Finding the Fourth Proportional to 249.45, 344.24 and 145.95

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Solution

The fourth proportional to 249.45, 344.24 and 145.95 is: 201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.45 : 344.24 = 145.95 : x
  2. Step 2: Convert to fraction form
    249.45/344.24 = 145.95/x
  3. Step 3: Cross multiply
    249.45x = 344.24 × 145.95
  4. Step 4: Simplify right side
    249.45x = 50,241.10
  5. Step 5: Solve for x
    x = 50,241.10/249.45
  6. Step 6: Final answer
    x = 201.41

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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.