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Finding the Fourth Proportional to 127.05, 191.27 and 115.71

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Solution

The fourth proportional to 127.05, 191.27 and 115.71 is: 174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.05 : 191.27 = 115.71 : x
  2. Step 2: Convert to fraction form
    127.05/191.27 = 115.71/x
  3. Step 3: Cross multiply
    127.05x = 191.27 × 115.71
  4. Step 4: Simplify right side
    127.05x = 22,131.27
  5. Step 5: Solve for x
    x = 22,131.27/127.05
  6. Step 6: Final answer
    x = 174.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.