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Finding the Fourth Proportional to 182.62, 273.44 and 105.47

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Solution

The fourth proportional to 182.62, 273.44 and 105.47 is: 157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.62 : 273.44 = 105.47 : x
  2. Step 2: Convert to fraction form
    182.62/273.44 = 105.47/x
  3. Step 3: Cross multiply
    182.62x = 273.44 × 105.47
  4. Step 4: Simplify right side
    182.62x = 28,839.72
  5. Step 5: Solve for x
    x = 28,839.72/182.62
  6. Step 6: Final answer
    x = 157.92

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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.