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Finding the Fourth Proportional to 115.08, 157.78 and 113.03

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Solution

The fourth proportional to 115.08, 157.78 and 113.03 is: 154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.08 : 157.78 = 113.03 : x
  2. Step 2: Convert to fraction form
    115.08/157.78 = 113.03/x
  3. Step 3: Cross multiply
    115.08x = 157.78 × 113.03
  4. Step 4: Simplify right side
    115.08x = 17,833.87
  5. Step 5: Solve for x
    x = 17,833.87/115.08
  6. Step 6: Final answer
    x = 154.97

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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.