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Finding the Fourth Proportional to 127.83, 192.69 and 115.28

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Solution

The fourth proportional to 127.83, 192.69 and 115.28 is: 173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.83 : 192.69 = 115.28 : x
  2. Step 2: Convert to fraction form
    127.83/192.69 = 115.28/x
  3. Step 3: Cross multiply
    127.83x = 192.69 × 115.28
  4. Step 4: Simplify right side
    127.83x = 22,212.34
  5. Step 5: Solve for x
    x = 22,212.34/127.83
  6. Step 6: Final answer
    x = 173.76

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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.