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Finding the Fourth Proportional to 119.28, 163.46 and 107.76

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Solution

The fourth proportional to 119.28, 163.46 and 107.76 is: 147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.28 : 163.46 = 107.76 : x
  2. Step 2: Convert to fraction form
    119.28/163.46 = 107.76/x
  3. Step 3: Cross multiply
    119.28x = 163.46 × 107.76
  4. Step 4: Simplify right side
    119.28x = 17,614.45
  5. Step 5: Solve for x
    x = 17,614.45/119.28
  6. Step 6: Final answer
    x = 147.67

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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.