Finding the Fourth Proportional to 207.79, 311.66 and 77.77
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Solution
The fourth proportional to 207.79, 311.66 and 77.77 is: 116.64
Step by Step Solution
- Step 1: Write the proportion equation
207.79 : 311.66 = 77.77 : x - Step 2: Convert to fraction form
207.79/311.66 = 77.77/x - Step 3: Cross multiply
207.79x = 311.66 × 77.77 - Step 4: Simplify right side
207.79x = 24,236.24 - Step 5: Solve for x
x = 24,236.24/207.79 - Step 6: Final answer
x = 116.64
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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.