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Finding the Fourth Proportional to 163.38, 246 and 143.34

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Solution

The fourth proportional to 163.38, 246 and 143.34 is: 215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.38 : 246 = 143.34 : x
  2. Step 2: Convert to fraction form
    163.38/246 = 143.34/x
  3. Step 3: Cross multiply
    163.38x = 246 × 143.34
  4. Step 4: Simplify right side
    163.38x = 35,261.64
  5. Step 5: Solve for x
    x = 35,261.64/163.38
  6. Step 6: Final answer
    x = 215.83

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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.