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Finding the Fourth Proportional to 127.20, 190.87 and 55.05

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Solution

The fourth proportional to 127.20, 190.87 and 55.05 is: 82.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.20 : 190.87 = 55.05 : x
  2. Step 2: Convert to fraction form
    127.20/190.87 = 55.05/x
  3. Step 3: Cross multiply
    127.20x = 190.87 × 55.05
  4. Step 4: Simplify right side
    127.20x = 10,508.23
  5. Step 5: Solve for x
    x = 10,508.23/127.20
  6. Step 6: Final answer
    x = 82.61

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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.