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Finding the Fourth Proportional to 109.26, 150.94 and 99.54

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Solution

The fourth proportional to 109.26, 150.94 and 99.54 is: 137.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.26 : 150.94 = 99.54 : x
  2. Step 2: Convert to fraction form
    109.26/150.94 = 99.54/x
  3. Step 3: Cross multiply
    109.26x = 150.94 × 99.54
  4. Step 4: Simplify right side
    109.26x = 15,024.57
  5. Step 5: Solve for x
    x = 15,024.57/109.26
  6. Step 6: Final answer
    x = 137.51

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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.