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Finding the Fourth Proportional to 378.90, 522.14 and 273.80

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Solution

The fourth proportional to 378.90, 522.14 and 273.80 is: 377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.90 : 522.14 = 273.80 : x
  2. Step 2: Convert to fraction form
    378.90/522.14 = 273.80/x
  3. Step 3: Cross multiply
    378.90x = 522.14 × 273.80
  4. Step 4: Simplify right side
    378.90x = 142,961.93
  5. Step 5: Solve for x
    x = 142,961.93/378.90
  6. Step 6: Final answer
    x = 377.31

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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.