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Finding the Fourth Proportional to 193.26, 288.61 and 182.73

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Solution

The fourth proportional to 193.26, 288.61 and 182.73 is: 272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.26 : 288.61 = 182.73 : x
  2. Step 2: Convert to fraction form
    193.26/288.61 = 182.73/x
  3. Step 3: Cross multiply
    193.26x = 288.61 × 182.73
  4. Step 4: Simplify right side
    193.26x = 52,737.71
  5. Step 5: Solve for x
    x = 52,737.71/193.26
  6. Step 6: Final answer
    x = 272.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.