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Finding the Fourth Proportional to 378.63, 522.47 and 254.25

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Solution

The fourth proportional to 378.63, 522.47 and 254.25 is: 350.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.63 : 522.47 = 254.25 : x
  2. Step 2: Convert to fraction form
    378.63/522.47 = 254.25/x
  3. Step 3: Cross multiply
    378.63x = 522.47 × 254.25
  4. Step 4: Simplify right side
    378.63x = 132,836.73
  5. Step 5: Solve for x
    x = 132,836.73/378.63
  6. Step 6: Final answer
    x = 350.84

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Double scale
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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.