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Finding the Fourth Proportional to 100.37, 149.83 and 92.85

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Solution

The fourth proportional to 100.37, 149.83 and 92.85 is: 138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.37 : 149.83 = 92.85 : x
  2. Step 2: Convert to fraction form
    100.37/149.83 = 92.85/x
  3. Step 3: Cross multiply
    100.37x = 149.83 × 92.85
  4. Step 4: Simplify right side
    100.37x = 13,912.05
  5. Step 5: Solve for x
    x = 13,912.05/100.37
  6. Step 6: Final answer
    x = 138.61

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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.