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Finding the Fourth Proportional to 163.88, 226.38 and 144.18

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Solution

The fourth proportional to 163.88, 226.38 and 144.18 is: 199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.88 : 226.38 = 144.18 : x
  2. Step 2: Convert to fraction form
    163.88/226.38 = 144.18/x
  3. Step 3: Cross multiply
    163.88x = 226.38 × 144.18
  4. Step 4: Simplify right side
    163.88x = 32,639.47
  5. Step 5: Solve for x
    x = 32,639.47/163.88
  6. Step 6: Final answer
    x = 199.17

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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.