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Finding the Fourth Proportional to 115.83, 172.83 and 113.09

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Solution

The fourth proportional to 115.83, 172.83 and 113.09 is: 168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.83 : 172.83 = 113.09 : x
  2. Step 2: Convert to fraction form
    115.83/172.83 = 113.09/x
  3. Step 3: Cross multiply
    115.83x = 172.83 × 113.09
  4. Step 4: Simplify right side
    115.83x = 19,544.48
  5. Step 5: Solve for x
    x = 19,544.48/115.83
  6. Step 6: Final answer
    x = 168.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.