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Finding the Fourth Proportional to 289.73, 396.97 and 285.68

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Solution

The fourth proportional to 289.73, 396.97 and 285.68 is: 391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.73 : 396.97 = 285.68 : x
  2. Step 2: Convert to fraction form
    289.73/396.97 = 285.68/x
  3. Step 3: Cross multiply
    289.73x = 396.97 × 285.68
  4. Step 4: Simplify right side
    289.73x = 113,406.67
  5. Step 5: Solve for x
    x = 113,406.67/289.73
  6. Step 6: Final answer
    x = 391.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.