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Finding the Fourth Proportional to 127.74, 191.18 and 120.44

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Solution

The fourth proportional to 127.74, 191.18 and 120.44 is: 180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.74 : 191.18 = 120.44 : x
  2. Step 2: Convert to fraction form
    127.74/191.18 = 120.44/x
  3. Step 3: Cross multiply
    127.74x = 191.18 × 120.44
  4. Step 4: Simplify right side
    127.74x = 23,025.72
  5. Step 5: Solve for x
    x = 23,025.72/127.74
  6. Step 6: Final answer
    x = 180.25

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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.