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Finding the Fourth Proportional to 163.31, 246.39 and 145.49

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Solution

The fourth proportional to 163.31, 246.39 and 145.49 is: 219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.31 : 246.39 = 145.49 : x
  2. Step 2: Convert to fraction form
    163.31/246.39 = 145.49/x
  3. Step 3: Cross multiply
    163.31x = 246.39 × 145.49
  4. Step 4: Simplify right side
    163.31x = 35,846.55
  5. Step 5: Solve for x
    x = 35,846.55/163.31
  6. Step 6: Final answer
    x = 219.50

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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.