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Finding the Fourth Proportional to 116.43, 159.69 and 108.33

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Solution

The fourth proportional to 116.43, 159.69 and 108.33 is: 148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.43 : 159.69 = 108.33 : x
  2. Step 2: Convert to fraction form
    116.43/159.69 = 108.33/x
  3. Step 3: Cross multiply
    116.43x = 159.69 × 108.33
  4. Step 4: Simplify right side
    116.43x = 17,299.22
  5. Step 5: Solve for x
    x = 17,299.22/116.43
  6. Step 6: Final answer
    x = 148.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.