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Finding the Fourth Proportional to 224.76, 338.28 and 171

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Solution

The fourth proportional to 224.76, 338.28 and 171 is: 257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.76 : 338.28 = 171 : x
  2. Step 2: Convert to fraction form
    224.76/338.28 = 171/x
  3. Step 3: Cross multiply
    224.76x = 338.28 × 171
  4. Step 4: Simplify right side
    224.76x = 57,845.88
  5. Step 5: Solve for x
    x = 57,845.88/224.76
  6. Step 6: Final answer
    x = 257.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.