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Finding the Fourth Proportional to 251.28, 376.44 and 142.74

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Solution

The fourth proportional to 251.28, 376.44 and 142.74 is: 213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.28 : 376.44 = 142.74 : x
  2. Step 2: Convert to fraction form
    251.28/376.44 = 142.74/x
  3. Step 3: Cross multiply
    251.28x = 376.44 × 142.74
  4. Step 4: Simplify right side
    251.28x = 53,733.05
  5. Step 5: Solve for x
    x = 53,733.05/251.28
  6. Step 6: Final answer
    x = 213.84

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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.