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Finding the Fourth Proportional to 116.59, 161.96 and 115.48

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Solution

The fourth proportional to 116.59, 161.96 and 115.48 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.59 : 161.96 = 115.48 : x
  2. Step 2: Convert to fraction form
    116.59/161.96 = 115.48/x
  3. Step 3: Cross multiply
    116.59x = 161.96 × 115.48
  4. Step 4: Simplify right side
    116.59x = 18,703.14
  5. Step 5: Solve for x
    x = 18,703.14/116.59
  6. Step 6: Final answer
    x = 160.42

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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.