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Finding the Fourth Proportional to 116.20, 161.23 and 112.84

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Solution

The fourth proportional to 116.20, 161.23 and 112.84 is: 156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.20 : 161.23 = 112.84 : x
  2. Step 2: Convert to fraction form
    116.20/161.23 = 112.84/x
  3. Step 3: Cross multiply
    116.20x = 161.23 × 112.84
  4. Step 4: Simplify right side
    116.20x = 18,193.19
  5. Step 5: Solve for x
    x = 18,193.19/116.20
  6. Step 6: Final answer
    x = 156.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.