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Finding the Fourth Proportional to 254.97, 351.81 and 161.73

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Solution

The fourth proportional to 254.97, 351.81 and 161.73 is: 223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.97 : 351.81 = 161.73 : x
  2. Step 2: Convert to fraction form
    254.97/351.81 = 161.73/x
  3. Step 3: Cross multiply
    254.97x = 351.81 × 161.73
  4. Step 4: Simplify right side
    254.97x = 56,898.23
  5. Step 5: Solve for x
    x = 56,898.23/254.97
  6. Step 6: Final answer
    x = 223.16

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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.