Finding the Fourth Proportional to 122.06, 183.26 and 76.26
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Solution
The fourth proportional to 122.06, 183.26 and 76.26 is: 114.50
Step by Step Solution
- Step 1: Write the proportion equation
122.06 : 183.26 = 76.26 : x - Step 2: Convert to fraction form
122.06/183.26 = 76.26/x - Step 3: Cross multiply
122.06x = 183.26 × 76.26 - Step 4: Simplify right side
122.06x = 13,975.41 - Step 5: Solve for x
x = 13,975.41/122.06 - Step 6: Final answer
x = 114.50
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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.