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Finding the Fourth Proportional to 127.69, 191.31 and 122.95

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Solution

The fourth proportional to 127.69, 191.31 and 122.95 is: 184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.69 : 191.31 = 122.95 : x
  2. Step 2: Convert to fraction form
    127.69/191.31 = 122.95/x
  3. Step 3: Cross multiply
    127.69x = 191.31 × 122.95
  4. Step 4: Simplify right side
    127.69x = 23,521.56
  5. Step 5: Solve for x
    x = 23,521.56/127.69
  6. Step 6: Final answer
    x = 184.21

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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.