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Finding the Fourth Proportional to 293.44, 439.38 and 272.80

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Solution

The fourth proportional to 293.44, 439.38 and 272.80 is: 408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 439.38 = 272.80 : x
  2. Step 2: Convert to fraction form
    293.44/439.38 = 272.80/x
  3. Step 3: Cross multiply
    293.44x = 439.38 × 272.80
  4. Step 4: Simplify right side
    293.44x = 119,862.86
  5. Step 5: Solve for x
    x = 119,862.86/293.44
  6. Step 6: Final answer
    x = 408.47

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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.