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Finding the Fourth Proportional to 96.44, 144.78 and 79.48

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Solution

The fourth proportional to 96.44, 144.78 and 79.48 is: 119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.44 : 144.78 = 79.48 : x
  2. Step 2: Convert to fraction form
    96.44/144.78 = 79.48/x
  3. Step 3: Cross multiply
    96.44x = 144.78 × 79.48
  4. Step 4: Simplify right side
    96.44x = 11,507.11
  5. Step 5: Solve for x
    x = 11,507.11/96.44
  6. Step 6: Final answer
    x = 119.32

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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.