Finding the Fourth Proportional to 213.42, 319.70 and 122.08
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Solution
The fourth proportional to 213.42, 319.70 and 122.08 is: 182.87
Step by Step Solution
- Step 1: Write the proportion equation
213.42 : 319.70 = 122.08 : x - Step 2: Convert to fraction form
213.42/319.70 = 122.08/x - Step 3: Cross multiply
213.42x = 319.70 × 122.08 - Step 4: Simplify right side
213.42x = 39,028.98 - Step 5: Solve for x
x = 39,028.98/213.42 - Step 6: Final answer
x = 182.87
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.