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Finding the Fourth Proportional to 127.71, 190.11 and 127.11

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Solution

The fourth proportional to 127.71, 190.11 and 127.11 is: 189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.71 : 190.11 = 127.11 : x
  2. Step 2: Convert to fraction form
    127.71/190.11 = 127.11/x
  3. Step 3: Cross multiply
    127.71x = 190.11 × 127.11
  4. Step 4: Simplify right side
    127.71x = 24,164.88
  5. Step 5: Solve for x
    x = 24,164.88/127.71
  6. Step 6: Final answer
    x = 189.22

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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.