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Finding the Fourth Proportional to 165.14, 246.96 and 121.54

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Solution

The fourth proportional to 165.14, 246.96 and 121.54 is: 181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.14 : 246.96 = 121.54 : x
  2. Step 2: Convert to fraction form
    165.14/246.96 = 121.54/x
  3. Step 3: Cross multiply
    165.14x = 246.96 × 121.54
  4. Step 4: Simplify right side
    165.14x = 30,015.52
  5. Step 5: Solve for x
    x = 30,015.52/165.14
  6. Step 6: Final answer
    x = 181.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.