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Finding the Fourth Proportional to 163.40, 246.30 and 160.97

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Solution

The fourth proportional to 163.40, 246.30 and 160.97 is: 242.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.40 : 246.30 = 160.97 : x
  2. Step 2: Convert to fraction form
    163.40/246.30 = 160.97/x
  3. Step 3: Cross multiply
    163.40x = 246.30 × 160.97
  4. Step 4: Simplify right side
    163.40x = 39,645.68
  5. Step 5: Solve for x
    x = 39,645.68/163.40
  6. Step 6: Final answer
    x = 242.64

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