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Finding the Fourth Proportional to 119.50, 163.81 and 119.28

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Solution

The fourth proportional to 119.50, 163.81 and 119.28 is: 163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.50 : 163.81 = 119.28 : x
  2. Step 2: Convert to fraction form
    119.50/163.81 = 119.28/x
  3. Step 3: Cross multiply
    119.50x = 163.81 × 119.28
  4. Step 4: Simplify right side
    119.50x = 19,539.26
  5. Step 5: Solve for x
    x = 19,539.26/119.50
  6. Step 6: Final answer
    x = 163.51

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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.