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Finding the Fourth Proportional to 227, 311.90 and 185.44

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Solution

The fourth proportional to 227, 311.90 and 185.44 is: 254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227 : 311.90 = 185.44 : x
  2. Step 2: Convert to fraction form
    227/311.90 = 185.44/x
  3. Step 3: Cross multiply
    227x = 311.90 × 185.44
  4. Step 4: Simplify right side
    227x = 57,838.74
  5. Step 5: Solve for x
    x = 57,838.74/227
  6. Step 6: Final answer
    x = 254.80

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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.