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Finding the Fourth Proportional to 496.21, 743.67 and 265.27

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Solution

The fourth proportional to 496.21, 743.67 and 265.27 is: 397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.21 : 743.67 = 265.27 : x
  2. Step 2: Convert to fraction form
    496.21/743.67 = 265.27/x
  3. Step 3: Cross multiply
    496.21x = 743.67 × 265.27
  4. Step 4: Simplify right side
    496.21x = 197,273.34
  5. Step 5: Solve for x
    x = 197,273.34/496.21
  6. Step 6: Final answer
    x = 397.56

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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.