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Finding the Fourth Proportional to 105.44, 158.15 and 28.41

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Solution

The fourth proportional to 105.44, 158.15 and 28.41 is: 42.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.44 : 158.15 = 28.41 : x
  2. Step 2: Convert to fraction form
    105.44/158.15 = 28.41/x
  3. Step 3: Cross multiply
    105.44x = 158.15 × 28.41
  4. Step 4: Simplify right side
    105.44x = 4,492.80
  5. Step 5: Solve for x
    x = 4,492.80/105.44
  6. Step 6: Final answer
    x = 42.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.