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Finding the Fourth Proportional to 283.25, 391.11 and 209.68

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Solution

The fourth proportional to 283.25, 391.11 and 209.68 is: 289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.25 : 391.11 = 209.68 : x
  2. Step 2: Convert to fraction form
    283.25/391.11 = 209.68/x
  3. Step 3: Cross multiply
    283.25x = 391.11 × 209.68
  4. Step 4: Simplify right side
    283.25x = 82,007.94
  5. Step 5: Solve for x
    x = 82,007.94/283.25
  6. Step 6: Final answer
    x = 289.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.