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Finding the Fourth Proportional to 120.94, 182.29 and 115.09

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Solution

The fourth proportional to 120.94, 182.29 and 115.09 is: 173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.94 : 182.29 = 115.09 : x
  2. Step 2: Convert to fraction form
    120.94/182.29 = 115.09/x
  3. Step 3: Cross multiply
    120.94x = 182.29 × 115.09
  4. Step 4: Simplify right side
    120.94x = 20,979.76
  5. Step 5: Solve for x
    x = 20,979.76/120.94
  6. Step 6: Final answer
    x = 173.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.