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Finding the Fourth Proportional to 495.73, 743.68 and 221.81

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Solution

The fourth proportional to 495.73, 743.68 and 221.81 is: 332.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.73 : 743.68 = 221.81 : x
  2. Step 2: Convert to fraction form
    495.73/743.68 = 221.81/x
  3. Step 3: Cross multiply
    495.73x = 743.68 × 221.81
  4. Step 4: Simplify right side
    495.73x = 164,950.97
  5. Step 5: Solve for x
    x = 164,950.97/495.73
  6. Step 6: Final answer
    x = 332.75

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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.