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Finding the Fourth Proportional to 165.08, 226.41 and 160.97

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Solution

The fourth proportional to 165.08, 226.41 and 160.97 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.08 : 226.41 = 160.97 : x
  2. Step 2: Convert to fraction form
    165.08/226.41 = 160.97/x
  3. Step 3: Cross multiply
    165.08x = 226.41 × 160.97
  4. Step 4: Simplify right side
    165.08x = 36,444.09
  5. Step 5: Solve for x
    x = 36,444.09/165.08
  6. Step 6: Final answer
    x = 220.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.