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Finding the Fourth Proportional to 283.82, 391.68 and 167.36

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Solution

The fourth proportional to 283.82, 391.68 and 167.36 is: 230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.82 : 391.68 = 167.36 : x
  2. Step 2: Convert to fraction form
    283.82/391.68 = 167.36/x
  3. Step 3: Cross multiply
    283.82x = 391.68 × 167.36
  4. Step 4: Simplify right side
    283.82x = 65,551.56
  5. Step 5: Solve for x
    x = 65,551.56/283.82
  6. Step 6: Final answer
    x = 230.96

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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.