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Finding the Fourth Proportional to 283.48, 391.22 and 167

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Solution

The fourth proportional to 283.48, 391.22 and 167 is: 230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.48 : 391.22 = 167 : x
  2. Step 2: Convert to fraction form
    283.48/391.22 = 167/x
  3. Step 3: Cross multiply
    283.48x = 391.22 × 167
  4. Step 4: Simplify right side
    283.48x = 65,333.74
  5. Step 5: Solve for x
    x = 65,333.74/283.48
  6. Step 6: Final answer
    x = 230.47

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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.