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Finding the Fourth Proportional to 165.94, 249.03 and 127.45

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Solution

The fourth proportional to 165.94, 249.03 and 127.45 is: 191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.94 : 249.03 = 127.45 : x
  2. Step 2: Convert to fraction form
    165.94/249.03 = 127.45/x
  3. Step 3: Cross multiply
    165.94x = 249.03 × 127.45
  4. Step 4: Simplify right side
    165.94x = 31,738.87
  5. Step 5: Solve for x
    x = 31,738.87/165.94
  6. Step 6: Final answer
    x = 191.27

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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.