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Finding the Fourth Proportional to 160.97, 222.06 and 98.75

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Solution

The fourth proportional to 160.97, 222.06 and 98.75 is: 136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.97 : 222.06 = 98.75 : x
  2. Step 2: Convert to fraction form
    160.97/222.06 = 98.75/x
  3. Step 3: Cross multiply
    160.97x = 222.06 × 98.75
  4. Step 4: Simplify right side
    160.97x = 21,928.43
  5. Step 5: Solve for x
    x = 21,928.43/160.97
  6. Step 6: Final answer
    x = 136.23

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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.