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Finding the Fourth Proportional to 109.20, 149.91 and 94.44

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Solution

The fourth proportional to 109.20, 149.91 and 94.44 is: 129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.20 : 149.91 = 94.44 : x
  2. Step 2: Convert to fraction form
    109.20/149.91 = 94.44/x
  3. Step 3: Cross multiply
    109.20x = 149.91 × 94.44
  4. Step 4: Simplify right side
    109.20x = 14,157.50
  5. Step 5: Solve for x
    x = 14,157.50/109.20
  6. Step 6: Final answer
    x = 129.65

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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.