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Finding the Fourth Proportional to 250.43, 376.29 and 142.29

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Solution

The fourth proportional to 250.43, 376.29 and 142.29 is: 213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.43 : 376.29 = 142.29 : x
  2. Step 2: Convert to fraction form
    250.43/376.29 = 142.29/x
  3. Step 3: Cross multiply
    250.43x = 376.29 × 142.29
  4. Step 4: Simplify right side
    250.43x = 53,542.30
  5. Step 5: Solve for x
    x = 53,542.30/250.43
  6. Step 6: Final answer
    x = 213.81

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