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Finding the Fourth Proportional to 163.81, 245.91 and 109

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Solution

The fourth proportional to 163.81, 245.91 and 109 is: 163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.81 : 245.91 = 109 : x
  2. Step 2: Convert to fraction form
    163.81/245.91 = 109/x
  3. Step 3: Cross multiply
    163.81x = 245.91 × 109
  4. Step 4: Simplify right side
    163.81x = 26,804.19
  5. Step 5: Solve for x
    x = 26,804.19/163.81
  6. Step 6: Final answer
    x = 163.63

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Why These Related Problems?

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