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Finding the Fourth Proportional to 289.54, 396.71 and 285.94

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Solution

The fourth proportional to 289.54, 396.71 and 285.94 is: 391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.54 : 396.71 = 285.94 : x
  2. Step 2: Convert to fraction form
    289.54/396.71 = 285.94/x
  3. Step 3: Cross multiply
    289.54x = 396.71 × 285.94
  4. Step 4: Simplify right side
    289.54x = 113,435.26
  5. Step 5: Solve for x
    x = 113,435.26/289.54
  6. Step 6: Final answer
    x = 391.78

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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.