Finding the Fourth Proportional to 214.26, 295.68 and 122.26
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Solution
The fourth proportional to 214.26, 295.68 and 122.26 is: 168.72
Step by Step Solution
- Step 1: Write the proportion equation
214.26 : 295.68 = 122.26 : x - Step 2: Convert to fraction form
214.26/295.68 = 122.26/x - Step 3: Cross multiply
214.26x = 295.68 × 122.26 - Step 4: Simplify right side
214.26x = 36,149.84 - Step 5: Solve for x
x = 36,149.84/214.26 - Step 6: Final answer
x = 168.72
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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.