Finding the Fourth Proportional to 198.99, 298.71 and 107.91
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Solution
The fourth proportional to 198.99, 298.71 and 107.91 is: 161.99
Step by Step Solution
- Step 1: Write the proportion equation
198.99 : 298.71 = 107.91 : x - Step 2: Convert to fraction form
198.99/298.71 = 107.91/x - Step 3: Cross multiply
198.99x = 298.71 × 107.91 - Step 4: Simplify right side
198.99x = 32,233.80 - Step 5: Solve for x
x = 32,233.80/198.99 - Step 6: Final answer
x = 161.99
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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.