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Finding the Fourth Proportional to 249.42, 375.76 and 195.56

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Solution

The fourth proportional to 249.42, 375.76 and 195.56 is: 294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.42 : 375.76 = 195.56 : x
  2. Step 2: Convert to fraction form
    249.42/375.76 = 195.56/x
  3. Step 3: Cross multiply
    249.42x = 375.76 × 195.56
  4. Step 4: Simplify right side
    249.42x = 73,481.26
  5. Step 5: Solve for x
    x = 73,481.26/249.42
  6. Step 6: Final answer
    x = 294.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.