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Finding the Fourth Proportional to 119.72, 163.69 and 115.24

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Solution

The fourth proportional to 119.72, 163.69 and 115.24 is: 157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.72 : 163.69 = 115.24 : x
  2. Step 2: Convert to fraction form
    119.72/163.69 = 115.24/x
  3. Step 3: Cross multiply
    119.72x = 163.69 × 115.24
  4. Step 4: Simplify right side
    119.72x = 18,863.64
  5. Step 5: Solve for x
    x = 18,863.64/119.72
  6. Step 6: Final answer
    x = 157.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.