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Finding the Fourth Proportional to 534.25, 800.25 and 273.46

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Solution

The fourth proportional to 534.25, 800.25 and 273.46 is: 409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.25 : 800.25 = 273.46 : x
  2. Step 2: Convert to fraction form
    534.25/800.25 = 273.46/x
  3. Step 3: Cross multiply
    534.25x = 800.25 × 273.46
  4. Step 4: Simplify right side
    534.25x = 218,836.38
  5. Step 5: Solve for x
    x = 218,836.38/534.25
  6. Step 6: Final answer
    x = 409.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.