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Finding the Fourth Proportional to 163.88, 246.81 and 143.84

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Solution

The fourth proportional to 163.88, 246.81 and 143.84 is: 216.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.88 : 246.81 = 143.84 : x
  2. Step 2: Convert to fraction form
    163.88/246.81 = 143.84/x
  3. Step 3: Cross multiply
    163.88x = 246.81 × 143.84
  4. Step 4: Simplify right side
    163.88x = 35,501.15
  5. Step 5: Solve for x
    x = 35,501.15/163.88
  6. Step 6: Final answer
    x = 216.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.