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Finding the Fourth Proportional to 283.92, 391.92 and 231.36

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Solution

The fourth proportional to 283.92, 391.92 and 231.36 is: 319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.92 : 391.92 = 231.36 : x
  2. Step 2: Convert to fraction form
    283.92/391.92 = 231.36/x
  3. Step 3: Cross multiply
    283.92x = 391.92 × 231.36
  4. Step 4: Simplify right side
    283.92x = 90,674.61
  5. Step 5: Solve for x
    x = 90,674.61/283.92
  6. Step 6: Final answer
    x = 319.37

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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.