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Finding the Fourth Proportional to 116.19, 173.09 and 109.19

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Solution

The fourth proportional to 116.19, 173.09 and 109.19 is: 162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.19 : 173.09 = 109.19 : x
  2. Step 2: Convert to fraction form
    116.19/173.09 = 109.19/x
  3. Step 3: Cross multiply
    116.19x = 173.09 × 109.19
  4. Step 4: Simplify right side
    116.19x = 18,900.40
  5. Step 5: Solve for x
    x = 18,900.40/116.19
  6. Step 6: Final answer
    x = 162.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.