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Finding the Fourth Proportional to 285.11, 396.23 and 281.80

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Solution

The fourth proportional to 285.11, 396.23 and 281.80 is: 391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.11 : 396.23 = 281.80 : x
  2. Step 2: Convert to fraction form
    285.11/396.23 = 281.80/x
  3. Step 3: Cross multiply
    285.11x = 396.23 × 281.80
  4. Step 4: Simplify right side
    285.11x = 111,657.61
  5. Step 5: Solve for x
    x = 111,657.61/285.11
  6. Step 6: Final answer
    x = 391.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.