Finding the Fourth Proportional to 378.99, 523.02 and 231.63
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Solution
The fourth proportional to 378.99, 523.02 and 231.63 is: 319.66
Step by Step Solution
- Step 1: Write the proportion equation
378.99 : 523.02 = 231.63 : x - Step 2: Convert to fraction form
378.99/523.02 = 231.63/x - Step 3: Cross multiply
378.99x = 523.02 × 231.63 - Step 4: Simplify right side
378.99x = 121,147.12 - Step 5: Solve for x
x = 121,147.12/378.99 - Step 6: Final answer
x = 319.66
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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.