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Finding the Fourth Proportional to 255.97, 352.97 and 168.49

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Solution

The fourth proportional to 255.97, 352.97 and 168.49 is: 232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.97 : 352.97 = 168.49 : x
  2. Step 2: Convert to fraction form
    255.97/352.97 = 168.49/x
  3. Step 3: Cross multiply
    255.97x = 352.97 × 168.49
  4. Step 4: Simplify right side
    255.97x = 59,471.07
  5. Step 5: Solve for x
    x = 59,471.07/255.97
  6. Step 6: Final answer
    x = 232.34

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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.