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Finding the Fourth Proportional to 283.80, 391.50 and 218.28

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Solution

The fourth proportional to 283.80, 391.50 and 218.28 is: 301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.80 : 391.50 = 218.28 : x
  2. Step 2: Convert to fraction form
    283.80/391.50 = 218.28/x
  3. Step 3: Cross multiply
    283.80x = 391.50 × 218.28
  4. Step 4: Simplify right side
    283.80x = 85,456.62
  5. Step 5: Solve for x
    x = 85,456.62/283.80
  6. Step 6: Final answer
    x = 301.12

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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.