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Finding the Fourth Proportional to 165.55, 227.40 and 160.69

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Solution

The fourth proportional to 165.55, 227.40 and 160.69 is: 220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.55 : 227.40 = 160.69 : x
  2. Step 2: Convert to fraction form
    165.55/227.40 = 160.69/x
  3. Step 3: Cross multiply
    165.55x = 227.40 × 160.69
  4. Step 4: Simplify right side
    165.55x = 36,540.91
  5. Step 5: Solve for x
    x = 36,540.91/165.55
  6. Step 6: Final answer
    x = 220.72

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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.