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Finding the Fourth Proportional to 100.24, 137.74 and 83.83

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Solution

The fourth proportional to 100.24, 137.74 and 83.83 is: 115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.24 : 137.74 = 83.83 : x
  2. Step 2: Convert to fraction form
    100.24/137.74 = 83.83/x
  3. Step 3: Cross multiply
    100.24x = 137.74 × 83.83
  4. Step 4: Simplify right side
    100.24x = 11,546.74
  5. Step 5: Solve for x
    x = 11,546.74/100.24
  6. Step 6: Final answer
    x = 115.19

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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.