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Finding the Fourth Proportional to 115.97, 160.73 and 113.81

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Solution

The fourth proportional to 115.97, 160.73 and 113.81 is: 157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.97 : 160.73 = 113.81 : x
  2. Step 2: Convert to fraction form
    115.97/160.73 = 113.81/x
  3. Step 3: Cross multiply
    115.97x = 160.73 × 113.81
  4. Step 4: Simplify right side
    115.97x = 18,291.31
  5. Step 5: Solve for x
    x = 18,291.31/115.97
  6. Step 6: Final answer
    x = 157.73

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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.