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Finding the Fourth Proportional to 122.84, 170.22 and 121.36

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Solution

The fourth proportional to 122.84, 170.22 and 121.36 is: 168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.84 : 170.22 = 121.36 : x
  2. Step 2: Convert to fraction form
    122.84/170.22 = 121.36/x
  3. Step 3: Cross multiply
    122.84x = 170.22 × 121.36
  4. Step 4: Simplify right side
    122.84x = 20,657.90
  5. Step 5: Solve for x
    x = 20,657.90/122.84
  6. Step 6: Final answer
    x = 168.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.