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Finding the Fourth Proportional to 250.81, 377.61 and 196.26

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Solution

The fourth proportional to 250.81, 377.61 and 196.26 is: 295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.81 : 377.61 = 196.26 : x
  2. Step 2: Convert to fraction form
    250.81/377.61 = 196.26/x
  3. Step 3: Cross multiply
    250.81x = 377.61 × 196.26
  4. Step 4: Simplify right side
    250.81x = 74,110.26
  5. Step 5: Solve for x
    x = 74,110.26/250.81
  6. Step 6: Final answer
    x = 295.48

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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.