Finding the Fourth Proportional to 122.23, 183.36 and 41.05
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Solution
The fourth proportional to 122.23, 183.36 and 41.05 is: 61.58
Step by Step Solution
- Step 1: Write the proportion equation
122.23 : 183.36 = 41.05 : x - Step 2: Convert to fraction form
122.23/183.36 = 41.05/x - Step 3: Cross multiply
122.23x = 183.36 × 41.05 - Step 4: Simplify right side
122.23x = 7,526.47 - Step 5: Solve for x
x = 7,526.47/122.23 - Step 6: Final answer
x = 61.58
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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.