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Finding the Fourth Proportional to 293.44, 439.96 and 131.28

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Solution

The fourth proportional to 293.44, 439.96 and 131.28 is: 196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 439.96 = 131.28 : x
  2. Step 2: Convert to fraction form
    293.44/439.96 = 131.28/x
  3. Step 3: Cross multiply
    293.44x = 439.96 × 131.28
  4. Step 4: Simplify right side
    293.44x = 57,757.95
  5. Step 5: Solve for x
    x = 57,757.95/293.44
  6. Step 6: Final answer
    x = 196.83

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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.