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Finding the Fourth Proportional to 165.28, 249.14 and 161.60

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Solution

The fourth proportional to 165.28, 249.14 and 161.60 is: 243.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.28 : 249.14 = 161.60 : x
  2. Step 2: Convert to fraction form
    165.28/249.14 = 161.60/x
  3. Step 3: Cross multiply
    165.28x = 249.14 × 161.60
  4. Step 4: Simplify right side
    165.28x = 40,261.02
  5. Step 5: Solve for x
    x = 40,261.02/165.28
  6. Step 6: Final answer
    x = 243.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.