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Finding the Fourth Proportional to 283.82, 391.83 and 221.54

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Solution

The fourth proportional to 283.82, 391.83 and 221.54 is: 305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.82 : 391.83 = 221.54 : x
  2. Step 2: Convert to fraction form
    283.82/391.83 = 221.54/x
  3. Step 3: Cross multiply
    283.82x = 391.83 × 221.54
  4. Step 4: Simplify right side
    283.82x = 86,806.02
  5. Step 5: Solve for x
    x = 86,806.02/283.82
  6. Step 6: Final answer
    x = 305.85

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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.