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Finding the Fourth Proportional to 165.93, 229.10 and 129.03

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Solution

The fourth proportional to 165.93, 229.10 and 129.03 is: 178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.93 : 229.10 = 129.03 : x
  2. Step 2: Convert to fraction form
    165.93/229.10 = 129.03/x
  3. Step 3: Cross multiply
    165.93x = 229.10 × 129.03
  4. Step 4: Simplify right side
    165.93x = 29,560.13
  5. Step 5: Solve for x
    x = 29,560.13/165.93
  6. Step 6: Final answer
    x = 178.15

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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.