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Finding the Fourth Proportional to 165.38, 246.40 and 161.76

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Solution

The fourth proportional to 165.38, 246.40 and 161.76 is: 241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 246.40 = 161.76 : x
  2. Step 2: Convert to fraction form
    165.38/246.40 = 161.76/x
  3. Step 3: Cross multiply
    165.38x = 246.40 × 161.76
  4. Step 4: Simplify right side
    165.38x = 39,857.66
  5. Step 5: Solve for x
    x = 39,857.66/165.38
  6. Step 6: Final answer
    x = 241.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.