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Finding the Fourth Proportional to 160.82, 222.02 and 121.94

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Solution

The fourth proportional to 160.82, 222.02 and 121.94 is: 168.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.82 : 222.02 = 121.94 : x
  2. Step 2: Convert to fraction form
    160.82/222.02 = 121.94/x
  3. Step 3: Cross multiply
    160.82x = 222.02 × 121.94
  4. Step 4: Simplify right side
    160.82x = 27,072.51
  5. Step 5: Solve for x
    x = 27,072.51/160.82
  6. Step 6: Final answer
    x = 168.34

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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.