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Finding the Fourth Proportional to 170.98, 236.05 and 121.84

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Solution

The fourth proportional to 170.98, 236.05 and 121.84 is: 168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.98 : 236.05 = 121.84 : x
  2. Step 2: Convert to fraction form
    170.98/236.05 = 121.84/x
  3. Step 3: Cross multiply
    170.98x = 236.05 × 121.84
  4. Step 4: Simplify right side
    170.98x = 28,759.44
  5. Step 5: Solve for x
    x = 28,759.44/170.98
  6. Step 6: Final answer
    x = 168.21

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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.