Finding the Fourth Proportional to 209.96, 289.78 and 122.68
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Solution
The fourth proportional to 209.96, 289.78 and 122.68 is: 169.32
Step by Step Solution
- Step 1: Write the proportion equation
209.96 : 289.78 = 122.68 : x - Step 2: Convert to fraction form
209.96/289.78 = 122.68/x - Step 3: Cross multiply
209.96x = 289.78 × 122.68 - Step 4: Simplify right side
209.96x = 35,550.21 - Step 5: Solve for x
x = 35,550.21/209.96 - Step 6: Final answer
x = 169.32
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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.