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Finding the Fourth Proportional to 127.44, 190.08 and 119.88

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Solution

The fourth proportional to 127.44, 190.08 and 119.88 is: 178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.44 : 190.08 = 119.88 : x
  2. Step 2: Convert to fraction form
    127.44/190.08 = 119.88/x
  3. Step 3: Cross multiply
    127.44x = 190.08 × 119.88
  4. Step 4: Simplify right side
    127.44x = 22,786.79
  5. Step 5: Solve for x
    x = 22,786.79/127.44
  6. Step 6: Final answer
    x = 178.80

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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.