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Finding the Fourth Proportional to 105.28, 144.97 and 91.47

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Solution

The fourth proportional to 105.28, 144.97 and 91.47 is: 125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.28 : 144.97 = 91.47 : x
  2. Step 2: Convert to fraction form
    105.28/144.97 = 91.47/x
  3. Step 3: Cross multiply
    105.28x = 144.97 × 91.47
  4. Step 4: Simplify right side
    105.28x = 13,260.41
  5. Step 5: Solve for x
    x = 13,260.41/105.28
  6. Step 6: Final answer
    x = 125.95

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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.