Finding the Fourth Proportional to 209.92, 289.82 and 135.26
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Solution
The fourth proportional to 209.92, 289.82 and 135.26 is: 186.74
Step by Step Solution
- Step 1: Write the proportion equation
209.92 : 289.82 = 135.26 : x - Step 2: Convert to fraction form
209.92/289.82 = 135.26/x - Step 3: Cross multiply
209.92x = 289.82 × 135.26 - Step 4: Simplify right side
209.92x = 39,201.05 - Step 5: Solve for x
x = 39,201.05/209.92 - Step 6: Final answer
x = 186.74
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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.