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Finding the Fourth Proportional to 100.44, 138.50 and 90.12

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Solution

The fourth proportional to 100.44, 138.50 and 90.12 is: 124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 138.50 = 90.12 : x
  2. Step 2: Convert to fraction form
    100.44/138.50 = 90.12/x
  3. Step 3: Cross multiply
    100.44x = 138.50 × 90.12
  4. Step 4: Simplify right side
    100.44x = 12,481.62
  5. Step 5: Solve for x
    x = 12,481.62/100.44
  6. Step 6: Final answer
    x = 124.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.