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Finding the Fourth Proportional to 182.81, 252.21 and 120.68

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Solution

The fourth proportional to 182.81, 252.21 and 120.68 is: 166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.81 : 252.21 = 120.68 : x
  2. Step 2: Convert to fraction form
    182.81/252.21 = 120.68/x
  3. Step 3: Cross multiply
    182.81x = 252.21 × 120.68
  4. Step 4: Simplify right side
    182.81x = 30,435.44
  5. Step 5: Solve for x
    x = 30,435.44/182.81
  6. Step 6: Final answer
    x = 166.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.