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Finding the Fourth Proportional to 378.60, 522.35 and 254.39

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Solution

The fourth proportional to 378.60, 522.35 and 254.39 is: 350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.60 : 522.35 = 254.39 : x
  2. Step 2: Convert to fraction form
    378.60/522.35 = 254.39/x
  3. Step 3: Cross multiply
    378.60x = 522.35 × 254.39
  4. Step 4: Simplify right side
    378.60x = 132,876.73
  5. Step 5: Solve for x
    x = 132,876.73/378.60
  6. Step 6: Final answer
    x = 350.97

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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.