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Finding the Fourth Proportional to 121.69, 183.23 and 100.22

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Solution

The fourth proportional to 121.69, 183.23 and 100.22 is: 150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.69 : 183.23 = 100.22 : x
  2. Step 2: Convert to fraction form
    121.69/183.23 = 100.22/x
  3. Step 3: Cross multiply
    121.69x = 183.23 × 100.22
  4. Step 4: Simplify right side
    121.69x = 18,363.31
  5. Step 5: Solve for x
    x = 18,363.31/121.69
  6. Step 6: Final answer
    x = 150.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.