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Finding the Fourth Proportional to 227, 340.14 and 165.86

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Solution

The fourth proportional to 227, 340.14 and 165.86 is: 248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227 : 340.14 = 165.86 : x
  2. Step 2: Convert to fraction form
    227/340.14 = 165.86/x
  3. Step 3: Cross multiply
    227x = 340.14 × 165.86
  4. Step 4: Simplify right side
    227x = 56,415.62
  5. Step 5: Solve for x
    x = 56,415.62/227
  6. Step 6: Final answer
    x = 248.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.