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Finding the Fourth Proportional to 254.71, 350.94 and 171.73

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Solution

The fourth proportional to 254.71, 350.94 and 171.73 is: 236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.71 : 350.94 = 171.73 : x
  2. Step 2: Convert to fraction form
    254.71/350.94 = 171.73/x
  3. Step 3: Cross multiply
    254.71x = 350.94 × 171.73
  4. Step 4: Simplify right side
    254.71x = 60,266.93
  5. Step 5: Solve for x
    x = 60,266.93/254.71
  6. Step 6: Final answer
    x = 236.61

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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.