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Finding the Fourth Proportional to 119.96, 180.96 and 116.32

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Solution

The fourth proportional to 119.96, 180.96 and 116.32 is: 175.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.96 : 180.96 = 116.32 : x
  2. Step 2: Convert to fraction form
    119.96/180.96 = 116.32/x
  3. Step 3: Cross multiply
    119.96x = 180.96 × 116.32
  4. Step 4: Simplify right side
    119.96x = 21,049.27
  5. Step 5: Solve for x
    x = 21,049.27/119.96
  6. Step 6: Final answer
    x = 175.47

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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.