Finding the Fourth Proportional to 122.68, 183.97 and 76.96
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Solution
The fourth proportional to 122.68, 183.97 and 76.96 is: 115.41
Step by Step Solution
- Step 1: Write the proportion equation
122.68 : 183.97 = 76.96 : x - Step 2: Convert to fraction form
122.68/183.97 = 76.96/x - Step 3: Cross multiply
122.68x = 183.97 × 76.96 - Step 4: Simplify right side
122.68x = 14,158.33 - Step 5: Solve for x
x = 14,158.33/122.68 - Step 6: Final answer
x = 115.41
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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.