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Finding the Fourth Proportional to 115.69, 172.73 and 98.27

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Solution

The fourth proportional to 115.69, 172.73 and 98.27 is: 146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.69 : 172.73 = 98.27 : x
  2. Step 2: Convert to fraction form
    115.69/172.73 = 98.27/x
  3. Step 3: Cross multiply
    115.69x = 172.73 × 98.27
  4. Step 4: Simplify right side
    115.69x = 16,974.85
  5. Step 5: Solve for x
    x = 16,974.85/115.69
  6. Step 6: Final answer
    x = 146.73

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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.