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Finding the Fourth Proportional to 249.24, 344 and 145.76

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Solution

The fourth proportional to 249.24, 344 and 145.76 is: 201.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.24 : 344 = 145.76 : x
  2. Step 2: Convert to fraction form
    249.24/344 = 145.76/x
  3. Step 3: Cross multiply
    249.24x = 344 × 145.76
  4. Step 4: Simplify right side
    249.24x = 50,141.44
  5. Step 5: Solve for x
    x = 50,141.44/249.24
  6. Step 6: Final answer
    x = 201.18

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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.