Finding the Fourth Proportional to 207.11, 310.79 and 77.09
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Solution
The fourth proportional to 207.11, 310.79 and 77.09 is: 115.69
Step by Step Solution
- Step 1: Write the proportion equation
207.11 : 310.79 = 77.09 : x - Step 2: Convert to fraction form
207.11/310.79 = 77.09/x - Step 3: Cross multiply
207.11x = 310.79 × 77.09 - Step 4: Simplify right side
207.11x = 23,959.77 - Step 5: Solve for x
x = 23,959.77/207.11 - Step 6: Final answer
x = 115.69
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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.