Home / 160.20-220.98-116.46

Finding the Fourth Proportional to 160.20, 220.98 and 116.46

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Solution

The fourth proportional to 160.20, 220.98 and 116.46 is: 160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.20 : 220.98 = 116.46 : x
  2. Step 2: Convert to fraction form
    160.20/220.98 = 116.46/x
  3. Step 3: Cross multiply
    160.20x = 220.98 × 116.46
  4. Step 4: Simplify right side
    160.20x = 25,735.33
  5. Step 5: Solve for x
    x = 25,735.33/160.20
  6. Step 6: Final answer
    x = 160.65

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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.