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Finding the Fourth Proportional to 495.50, 743.28 and 166.43

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Solution

The fourth proportional to 495.50, 743.28 and 166.43 is: 249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.50 : 743.28 = 166.43 : x
  2. Step 2: Convert to fraction form
    495.50/743.28 = 166.43/x
  3. Step 3: Cross multiply
    495.50x = 743.28 × 166.43
  4. Step 4: Simplify right side
    495.50x = 123,704.09
  5. Step 5: Solve for x
    x = 123,704.09/495.50
  6. Step 6: Final answer
    x = 249.66

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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.