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Finding the Fourth Proportional to 378.62, 521.73 and 273.37

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Solution

The fourth proportional to 378.62, 521.73 and 273.37 is: 376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.62 : 521.73 = 273.37 : x
  2. Step 2: Convert to fraction form
    378.62/521.73 = 273.37/x
  3. Step 3: Cross multiply
    378.62x = 521.73 × 273.37
  4. Step 4: Simplify right side
    378.62x = 142,624.24
  5. Step 5: Solve for x
    x = 142,624.24/378.62
  6. Step 6: Final answer
    x = 376.70

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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.