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Finding the Fourth Proportional to 127.20, 174.92 and 120.44

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Solution

The fourth proportional to 127.20, 174.92 and 120.44 is: 165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.20 : 174.92 = 120.44 : x
  2. Step 2: Convert to fraction form
    127.20/174.92 = 120.44/x
  3. Step 3: Cross multiply
    127.20x = 174.92 × 120.44
  4. Step 4: Simplify right side
    127.20x = 21,067.36
  5. Step 5: Solve for x
    x = 21,067.36/127.20
  6. Step 6: Final answer
    x = 165.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.