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Finding the Fourth Proportional to 495.52, 743.28 and 268.96

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Solution

The fourth proportional to 495.52, 743.28 and 268.96 is: 403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.52 : 743.28 = 268.96 : x
  2. Step 2: Convert to fraction form
    495.52/743.28 = 268.96/x
  3. Step 3: Cross multiply
    495.52x = 743.28 × 268.96
  4. Step 4: Simplify right side
    495.52x = 199,912.59
  5. Step 5: Solve for x
    x = 199,912.59/495.52
  6. Step 6: Final answer
    x = 403.44

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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.