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Finding the Fourth Proportional to 116.30, 173.20 and 109.31

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Solution

The fourth proportional to 116.30, 173.20 and 109.31 is: 162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.30 : 173.20 = 109.31 : x
  2. Step 2: Convert to fraction form
    116.30/173.20 = 109.31/x
  3. Step 3: Cross multiply
    116.30x = 173.20 × 109.31
  4. Step 4: Simplify right side
    116.30x = 18,932.65
  5. Step 5: Solve for x
    x = 18,932.65/116.30
  6. Step 6: Final answer
    x = 162.79

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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.