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Finding the Fourth Proportional to 137.26, 189.30 and 100.41

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Solution

The fourth proportional to 137.26, 189.30 and 100.41 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.26 : 189.30 = 100.41 : x
  2. Step 2: Convert to fraction form
    137.26/189.30 = 100.41/x
  3. Step 3: Cross multiply
    137.26x = 189.30 × 100.41
  4. Step 4: Simplify right side
    137.26x = 19,007.61
  5. Step 5: Solve for x
    x = 19,007.61/137.26
  6. Step 6: Final answer
    x = 138.48

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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.