Finding the Fourth Proportional to 198.01, 296.99 and 69.75
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Solution
The fourth proportional to 198.01, 296.99 and 69.75 is: 104.62
Step by Step Solution
- Step 1: Write the proportion equation
198.01 : 296.99 = 69.75 : x - Step 2: Convert to fraction form
198.01/296.99 = 69.75/x - Step 3: Cross multiply
198.01x = 296.99 × 69.75 - Step 4: Simplify right side
198.01x = 20,715.05 - Step 5: Solve for x
x = 20,715.05/198.01 - Step 6: Final answer
x = 104.62
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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.