Finding the Fourth Proportional to 198.18, 296.91 and 180.18
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Solution
The fourth proportional to 198.18, 296.91 and 180.18 is: 269.94
Step by Step Solution
- Step 1: Write the proportion equation
198.18 : 296.91 = 180.18 : x - Step 2: Convert to fraction form
198.18/296.91 = 180.18/x - Step 3: Cross multiply
198.18x = 296.91 × 180.18 - Step 4: Simplify right side
198.18x = 53,497.24 - Step 5: Solve for x
x = 53,497.24/198.18 - Step 6: Final answer
x = 269.94
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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.