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Finding the Fourth Proportional to 289.04, 396.02 and 285.44

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Solution

The fourth proportional to 289.04, 396.02 and 285.44 is: 391.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.04 : 396.02 = 285.44 : x
  2. Step 2: Convert to fraction form
    289.04/396.02 = 285.44/x
  3. Step 3: Cross multiply
    289.04x = 396.02 × 285.44
  4. Step 4: Simplify right side
    289.04x = 113,039.95
  5. Step 5: Solve for x
    x = 113,039.95/289.04
  6. Step 6: Final answer
    x = 391.09

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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.