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Finding the Fourth Proportional to 309.44, 426.12 and 231.68

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Solution

The fourth proportional to 309.44, 426.12 and 231.68 is: 319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.44 : 426.12 = 231.68 : x
  2. Step 2: Convert to fraction form
    309.44/426.12 = 231.68/x
  3. Step 3: Cross multiply
    309.44x = 426.12 × 231.68
  4. Step 4: Simplify right side
    309.44x = 98,723.48
  5. Step 5: Solve for x
    x = 98,723.48/309.44
  6. Step 6: Final answer
    x = 319.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.