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Finding the Fourth Proportional to 127.49, 192.02 and 108.37

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Solution

The fourth proportional to 127.49, 192.02 and 108.37 is: 163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.49 : 192.02 = 108.37 : x
  2. Step 2: Convert to fraction form
    127.49/192.02 = 108.37/x
  3. Step 3: Cross multiply
    127.49x = 192.02 × 108.37
  4. Step 4: Simplify right side
    127.49x = 20,809.21
  5. Step 5: Solve for x
    x = 20,809.21/127.49
  6. Step 6: Final answer
    x = 163.22

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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.