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Finding the Fourth Proportional to 182.94, 252.38 and 120.88

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Solution

The fourth proportional to 182.94, 252.38 and 120.88 is: 166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.94 : 252.38 = 120.88 : x
  2. Step 2: Convert to fraction form
    182.94/252.38 = 120.88/x
  3. Step 3: Cross multiply
    182.94x = 252.38 × 120.88
  4. Step 4: Simplify right side
    182.94x = 30,507.69
  5. Step 5: Solve for x
    x = 30,507.69/182.94
  6. Step 6: Final answer
    x = 166.76

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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.