Finding the Fourth Proportional to 122.58, 183.63 and 107.38
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Solution
The fourth proportional to 122.58, 183.63 and 107.38 is: 160.86
Step by Step Solution
- Step 1: Write the proportion equation
122.58 : 183.63 = 107.38 : x - Step 2: Convert to fraction form
122.58/183.63 = 107.38/x - Step 3: Cross multiply
122.58x = 183.63 × 107.38 - Step 4: Simplify right side
122.58x = 19,718.19 - Step 5: Solve for x
x = 19,718.19/122.58 - Step 6: Final answer
x = 160.86
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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.