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Finding the Fourth Proportional to 109.20, 162.89 and 96.44

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Solution

The fourth proportional to 109.20, 162.89 and 96.44 is: 143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.20 : 162.89 = 96.44 : x
  2. Step 2: Convert to fraction form
    109.20/162.89 = 96.44/x
  3. Step 3: Cross multiply
    109.20x = 162.89 × 96.44
  4. Step 4: Simplify right side
    109.20x = 15,709.11
  5. Step 5: Solve for x
    x = 15,709.11/109.20
  6. Step 6: Final answer
    x = 143.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.