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Finding the Fourth Proportional to 182.96, 252.40 and 120.78

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Solution

The fourth proportional to 182.96, 252.40 and 120.78 is: 166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.96 : 252.40 = 120.78 : x
  2. Step 2: Convert to fraction form
    182.96/252.40 = 120.78/x
  3. Step 3: Cross multiply
    182.96x = 252.40 × 120.78
  4. Step 4: Simplify right side
    182.96x = 30,484.87
  5. Step 5: Solve for x
    x = 30,484.87/182.96
  6. Step 6: Final answer
    x = 166.62

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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.