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Finding the Fourth Proportional to 160.28, 220.97 and 116.09

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Solution

The fourth proportional to 160.28, 220.97 and 116.09 is: 160.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.28 : 220.97 = 116.09 : x
  2. Step 2: Convert to fraction form
    160.28/220.97 = 116.09/x
  3. Step 3: Cross multiply
    160.28x = 220.97 × 116.09
  4. Step 4: Simplify right side
    160.28x = 25,651.59
  5. Step 5: Solve for x
    x = 25,651.59/160.28
  6. Step 6: Final answer
    x = 160.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.