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Finding the Fourth Proportional to 250.90, 376.26 and 81.78

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Solution

The fourth proportional to 250.90, 376.26 and 81.78 is: 122.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.90 : 376.26 = 81.78 : x
  2. Step 2: Convert to fraction form
    250.90/376.26 = 81.78/x
  3. Step 3: Cross multiply
    250.90x = 376.26 × 81.78
  4. Step 4: Simplify right side
    250.90x = 30,769.29
  5. Step 5: Solve for x
    x = 30,769.29/250.90
  6. Step 6: Final answer
    x = 122.64

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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.