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Finding the Fourth Proportional to 250.78, 376.31 and 182.20

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Solution

The fourth proportional to 250.78, 376.31 and 182.20 is: 273.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.78 : 376.31 = 182.20 : x
  2. Step 2: Convert to fraction form
    250.78/376.31 = 182.20/x
  3. Step 3: Cross multiply
    250.78x = 376.31 × 182.20
  4. Step 4: Simplify right side
    250.78x = 68,563.68
  5. Step 5: Solve for x
    x = 68,563.68/250.78
  6. Step 6: Final answer
    x = 273.40

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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.