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Finding the Fourth Proportional to 249.45, 374.24 and 105.13

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Solution

The fourth proportional to 249.45, 374.24 and 105.13 is: 157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.45 : 374.24 = 105.13 : x
  2. Step 2: Convert to fraction form
    249.45/374.24 = 105.13/x
  3. Step 3: Cross multiply
    249.45x = 374.24 × 105.13
  4. Step 4: Simplify right side
    249.45x = 39,343.85
  5. Step 5: Solve for x
    x = 39,343.85/249.45
  6. Step 6: Final answer
    x = 157.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.