Finding the Fourth Proportional to 209.56, 289.19 and 122.23
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Solution
The fourth proportional to 209.56, 289.19 and 122.23 is: 168.68
Step by Step Solution
- Step 1: Write the proportion equation
209.56 : 289.19 = 122.23 : x - Step 2: Convert to fraction form
209.56/289.19 = 122.23/x - Step 3: Cross multiply
209.56x = 289.19 × 122.23 - Step 4: Simplify right side
209.56x = 35,347.08 - Step 5: Solve for x
x = 35,347.08/209.56 - Step 6: Final answer
x = 168.68
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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.