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Finding the Fourth Proportional to 115.83, 172.90 and 107.37

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Solution

The fourth proportional to 115.83, 172.90 and 107.37 is: 160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.83 : 172.90 = 107.37 : x
  2. Step 2: Convert to fraction form
    115.83/172.90 = 107.37/x
  3. Step 3: Cross multiply
    115.83x = 172.90 × 107.37
  4. Step 4: Simplify right side
    115.83x = 18,564.27
  5. Step 5: Solve for x
    x = 18,564.27/115.83
  6. Step 6: Final answer
    x = 160.27

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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.