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Finding the Fourth Proportional to 226.67, 339.50 and 165.66

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Solution

The fourth proportional to 226.67, 339.50 and 165.66 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.67 : 339.50 = 165.66 : x
  2. Step 2: Convert to fraction form
    226.67/339.50 = 165.66/x
  3. Step 3: Cross multiply
    226.67x = 339.50 × 165.66
  4. Step 4: Simplify right side
    226.67x = 56,241.98
  5. Step 5: Solve for x
    x = 56,241.98/226.67
  6. Step 6: Final answer
    x = 248.13

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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.