Finding the Fourth Proportional to 214.25, 295.67 and 120.99
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Solution
The fourth proportional to 214.25, 295.67 and 120.99 is: 166.96
Step by Step Solution
- Step 1: Write the proportion equation
214.25 : 295.67 = 120.99 : x - Step 2: Convert to fraction form
214.25/295.67 = 120.99/x - Step 3: Cross multiply
214.25x = 295.67 × 120.99 - Step 4: Simplify right side
214.25x = 35,771.03 - Step 5: Solve for x
x = 35,771.03/214.25 - Step 6: Final answer
x = 166.96
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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.