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Finding the Fourth Proportional to 165.10, 247.73 and 119.82

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Solution

The fourth proportional to 165.10, 247.73 and 119.82 is: 179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.10 : 247.73 = 119.82 : x
  2. Step 2: Convert to fraction form
    165.10/247.73 = 119.82/x
  3. Step 3: Cross multiply
    165.10x = 247.73 × 119.82
  4. Step 4: Simplify right side
    165.10x = 29,683.20
  5. Step 5: Solve for x
    x = 29,683.20/165.10
  6. Step 6: Final answer
    x = 179.79

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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.