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Finding the Fourth Proportional to 182.66, 273.74 and 139.37

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Solution

The fourth proportional to 182.66, 273.74 and 139.37 is: 208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.66 : 273.74 = 139.37 : x
  2. Step 2: Convert to fraction form
    182.66/273.74 = 139.37/x
  3. Step 3: Cross multiply
    182.66x = 273.74 × 139.37
  4. Step 4: Simplify right side
    182.66x = 38,149.08
  5. Step 5: Solve for x
    x = 38,149.08/182.66
  6. Step 6: Final answer
    x = 208.86

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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.