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Finding the Fourth Proportional to 163.80, 246.06 and 91.68

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Solution

The fourth proportional to 163.80, 246.06 and 91.68 is: 137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.80 : 246.06 = 91.68 : x
  2. Step 2: Convert to fraction form
    163.80/246.06 = 91.68/x
  3. Step 3: Cross multiply
    163.80x = 246.06 × 91.68
  4. Step 4: Simplify right side
    163.80x = 22,558.78
  5. Step 5: Solve for x
    x = 22,558.78/163.80
  6. Step 6: Final answer
    x = 137.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.