Finding the Fourth Proportional to 122.36, 183.09 and 102.08
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Solution
The fourth proportional to 122.36, 183.09 and 102.08 is: 152.74
Step by Step Solution
- Step 1: Write the proportion equation
122.36 : 183.09 = 102.08 : x - Step 2: Convert to fraction form
122.36/183.09 = 102.08/x - Step 3: Cross multiply
122.36x = 183.09 × 102.08 - Step 4: Simplify right side
122.36x = 18,689.83 - Step 5: Solve for x
x = 18,689.83/122.36 - Step 6: Final answer
x = 152.74
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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.