Finding the Fourth Proportional to 198.25, 297.10 and 106.99
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Solution
The fourth proportional to 198.25, 297.10 and 106.99 is: 160.34
Step by Step Solution
- Step 1: Write the proportion equation
198.25 : 297.10 = 106.99 : x - Step 2: Convert to fraction form
198.25/297.10 = 106.99/x - Step 3: Cross multiply
198.25x = 297.10 × 106.99 - Step 4: Simplify right side
198.25x = 31,786.73 - Step 5: Solve for x
x = 31,786.73/198.25 - Step 6: Final answer
x = 160.34
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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.