Finding the Fourth Proportional to 198.23, 297.28 and 81.09
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Solution
The fourth proportional to 198.23, 297.28 and 81.09 is: 121.61
Step by Step Solution
- Step 1: Write the proportion equation
198.23 : 297.28 = 81.09 : x - Step 2: Convert to fraction form
198.23/297.28 = 81.09/x - Step 3: Cross multiply
198.23x = 297.28 × 81.09 - Step 4: Simplify right side
198.23x = 24,106.44 - Step 5: Solve for x
x = 24,106.44/198.23 - Step 6: Final answer
x = 121.61
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.