Finding the Fourth Proportional to 214.23, 295.66 and 120.97
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Solution
The fourth proportional to 214.23, 295.66 and 120.97 is: 166.95
Step by Step Solution
- Step 1: Write the proportion equation
214.23 : 295.66 = 120.97 : x - Step 2: Convert to fraction form
214.23/295.66 = 120.97/x - Step 3: Cross multiply
214.23x = 295.66 × 120.97 - Step 4: Simplify right side
214.23x = 35,765.99 - Step 5: Solve for x
x = 35,765.99/214.23 - Step 6: Final answer
x = 166.95
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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.