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Finding the Fourth Proportional to 100.09, 149.60 and 92.41

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Solution

The fourth proportional to 100.09, 149.60 and 92.41 is: 138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.09 : 149.60 = 92.41 : x
  2. Step 2: Convert to fraction form
    100.09/149.60 = 92.41/x
  3. Step 3: Cross multiply
    100.09x = 149.60 × 92.41
  4. Step 4: Simplify right side
    100.09x = 13,824.54
  5. Step 5: Solve for x
    x = 13,824.54/100.09
  6. Step 6: Final answer
    x = 138.12

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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.