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Finding the Fourth Proportional to 165.97, 249.84 and 127.66

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Solution

The fourth proportional to 165.97, 249.84 and 127.66 is: 192.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.97 : 249.84 = 127.66 : x
  2. Step 2: Convert to fraction form
    165.97/249.84 = 127.66/x
  3. Step 3: Cross multiply
    165.97x = 249.84 × 127.66
  4. Step 4: Simplify right side
    165.97x = 31,894.57
  5. Step 5: Solve for x
    x = 31,894.57/165.97
  6. Step 6: Final answer
    x = 192.17

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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.