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Finding the Fourth Proportional to 223.26, 334.31 and 165.39

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Solution

The fourth proportional to 223.26, 334.31 and 165.39 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.26 : 334.31 = 165.39 : x
  2. Step 2: Convert to fraction form
    223.26/334.31 = 165.39/x
  3. Step 3: Cross multiply
    223.26x = 334.31 × 165.39
  4. Step 4: Simplify right side
    223.26x = 55,291.53
  5. Step 5: Solve for x
    x = 55,291.53/223.26
  6. Step 6: Final answer
    x = 247.66

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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.