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Finding the Fourth Proportional to 192.75, 265.85 and 126.28

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Solution

The fourth proportional to 192.75, 265.85 and 126.28 is: 174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.75 : 265.85 = 126.28 : x
  2. Step 2: Convert to fraction form
    192.75/265.85 = 126.28/x
  3. Step 3: Cross multiply
    192.75x = 265.85 × 126.28
  4. Step 4: Simplify right side
    192.75x = 33,570.22
  5. Step 5: Solve for x
    x = 33,570.22/192.75
  6. Step 6: Final answer
    x = 174.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.