Finding the Fourth Proportional to 199.26, 298.91 and 54.99
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Solution
The fourth proportional to 199.26, 298.91 and 54.99 is: 82.49
Step by Step Solution
- Step 1: Write the proportion equation
199.26 : 298.91 = 54.99 : x - Step 2: Convert to fraction form
199.26/298.91 = 54.99/x - Step 3: Cross multiply
199.26x = 298.91 × 54.99 - Step 4: Simplify right side
199.26x = 16,436.79 - Step 5: Solve for x
x = 16,436.79/199.26 - Step 6: Final answer
x = 82.49
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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.