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Finding the Fourth Proportional to 251.92, 380.12 and 241.92

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Solution

The fourth proportional to 251.92, 380.12 and 241.92 is: 365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.92 : 380.12 = 241.92 : x
  2. Step 2: Convert to fraction form
    251.92/380.12 = 241.92/x
  3. Step 3: Cross multiply
    251.92x = 380.12 × 241.92
  4. Step 4: Simplify right side
    251.92x = 91,958.63
  5. Step 5: Solve for x
    x = 91,958.63/251.92
  6. Step 6: Final answer
    x = 365.03

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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.