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Finding the Fourth Proportional to 119.03, 163.89 and 108.23

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Solution

The fourth proportional to 119.03, 163.89 and 108.23 is: 149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.03 : 163.89 = 108.23 : x
  2. Step 2: Convert to fraction form
    119.03/163.89 = 108.23/x
  3. Step 3: Cross multiply
    119.03x = 163.89 × 108.23
  4. Step 4: Simplify right side
    119.03x = 17,737.81
  5. Step 5: Solve for x
    x = 17,737.81/119.03
  6. Step 6: Final answer
    x = 149.02

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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.