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Finding the Fourth Proportional to 165.76, 249.91 and 163.60

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Solution

The fourth proportional to 165.76, 249.91 and 163.60 is: 246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.76 : 249.91 = 163.60 : x
  2. Step 2: Convert to fraction form
    165.76/249.91 = 163.60/x
  3. Step 3: Cross multiply
    165.76x = 249.91 × 163.60
  4. Step 4: Simplify right side
    165.76x = 40,885.28
  5. Step 5: Solve for x
    x = 40,885.28/165.76
  6. Step 6: Final answer
    x = 246.65

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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.