Finding the Fourth Proportional to 209.44, 289.07 and 122.17
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Solution
The fourth proportional to 209.44, 289.07 and 122.17 is: 168.61
Step by Step Solution
- Step 1: Write the proportion equation
209.44 : 289.07 = 122.17 : x - Step 2: Convert to fraction form
209.44/289.07 = 122.17/x - Step 3: Cross multiply
209.44x = 289.07 × 122.17 - Step 4: Simplify right side
209.44x = 35,313.63 - Step 5: Solve for x
x = 35,313.63/209.44 - Step 6: Final answer
x = 168.61
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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.