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Finding the Fourth Proportional to 254.43, 350.69 and 171.50

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Solution

The fourth proportional to 254.43, 350.69 and 171.50 is: 236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.43 : 350.69 = 171.50 : x
  2. Step 2: Convert to fraction form
    254.43/350.69 = 171.50/x
  3. Step 3: Cross multiply
    254.43x = 350.69 × 171.50
  4. Step 4: Simplify right side
    254.43x = 60,140.72
  5. Step 5: Solve for x
    x = 60,140.72/254.43
  6. Step 6: Final answer
    x = 236.37

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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.