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Finding the Fourth Proportional to 165.85, 229.08 and 129.09

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Solution

The fourth proportional to 165.85, 229.08 and 129.09 is: 178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.85 : 229.08 = 129.09 : x
  2. Step 2: Convert to fraction form
    165.85/229.08 = 129.09/x
  3. Step 3: Cross multiply
    165.85x = 229.08 × 129.09
  4. Step 4: Simplify right side
    165.85x = 29,571.94
  5. Step 5: Solve for x
    x = 29,571.94/165.85
  6. Step 6: Final answer
    x = 178.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.