Finding the Fourth Proportional to 207.71, 311.69 and 104.99
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Solution
The fourth proportional to 207.71, 311.69 and 104.99 is: 157.55
Step by Step Solution
- Step 1: Write the proportion equation
207.71 : 311.69 = 104.99 : x - Step 2: Convert to fraction form
207.71/311.69 = 104.99/x - Step 3: Cross multiply
207.71x = 311.69 × 104.99 - Step 4: Simplify right side
207.71x = 32,723.81 - Step 5: Solve for x
x = 32,723.81/207.71 - Step 6: Final answer
x = 157.55
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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.