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Finding the Fourth Proportional to 115.72, 160.37 and 113.56

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Solution

The fourth proportional to 115.72, 160.37 and 113.56 is: 157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.72 : 160.37 = 113.56 : x
  2. Step 2: Convert to fraction form
    115.72/160.37 = 113.56/x
  3. Step 3: Cross multiply
    115.72x = 160.37 × 113.56
  4. Step 4: Simplify right side
    115.72x = 18,211.62
  5. Step 5: Solve for x
    x = 18,211.62/115.72
  6. Step 6: Final answer
    x = 157.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.