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Finding the Fourth Proportional to 109.64, 150.20 and 105.53

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Solution

The fourth proportional to 109.64, 150.20 and 105.53 is: 144.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.64 : 150.20 = 105.53 : x
  2. Step 2: Convert to fraction form
    109.64/150.20 = 105.53/x
  3. Step 3: Cross multiply
    109.64x = 150.20 × 105.53
  4. Step 4: Simplify right side
    109.64x = 15,850.61
  5. Step 5: Solve for x
    x = 15,850.61/109.64
  6. Step 6: Final answer
    x = 144.57

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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.