Finding the Fourth Proportional to 122.09, 183.14 and 49.90
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Solution
The fourth proportional to 122.09, 183.14 and 49.90 is: 74.85
Step by Step Solution
- Step 1: Write the proportion equation
122.09 : 183.14 = 49.90 : x - Step 2: Convert to fraction form
122.09/183.14 = 49.90/x - Step 3: Cross multiply
122.09x = 183.14 × 49.90 - Step 4: Simplify right side
122.09x = 9,138.44 - Step 5: Solve for x
x = 9,138.44/122.09 - Step 6: Final answer
x = 74.85
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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.