Finding the Fourth Proportional to 198.75, 297.94 and 76.99
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Solution
The fourth proportional to 198.75, 297.94 and 76.99 is: 115.40
Step by Step Solution
- Step 1: Write the proportion equation
198.75 : 297.94 = 76.99 : x - Step 2: Convert to fraction form
198.75/297.94 = 76.99/x - Step 3: Cross multiply
198.75x = 297.94 × 76.99 - Step 4: Simplify right side
198.75x = 22,936.53 - Step 5: Solve for x
x = 22,936.53/198.75 - Step 6: Final answer
x = 115.40
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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.