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Finding the Fourth Proportional to 254.29, 351.02 and 171.44

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Solution

The fourth proportional to 254.29, 351.02 and 171.44 is: 236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.29 : 351.02 = 171.44 : x
  2. Step 2: Convert to fraction form
    254.29/351.02 = 171.44/x
  3. Step 3: Cross multiply
    254.29x = 351.02 × 171.44
  4. Step 4: Simplify right side
    254.29x = 60,178.87
  5. Step 5: Solve for x
    x = 60,178.87/254.29
  6. Step 6: Final answer
    x = 236.65

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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.