Finding the Fourth Proportional to 122.44, 182.80 and 115.68
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Solution
The fourth proportional to 122.44, 182.80 and 115.68 is: 172.71
Step by Step Solution
- Step 1: Write the proportion equation
122.44 : 182.80 = 115.68 : x - Step 2: Convert to fraction form
122.44/182.80 = 115.68/x - Step 3: Cross multiply
122.44x = 182.80 × 115.68 - Step 4: Simplify right side
122.44x = 21,146.30 - Step 5: Solve for x
x = 21,146.30/122.44 - Step 6: Final answer
x = 172.71
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.