Finding the Fourth Proportional to 122.22, 183.14 and 81.49
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Solution
The fourth proportional to 122.22, 183.14 and 81.49 is: 122.11
Step by Step Solution
- Step 1: Write the proportion equation
122.22 : 183.14 = 81.49 : x - Step 2: Convert to fraction form
122.22/183.14 = 81.49/x - Step 3: Cross multiply
122.22x = 183.14 × 81.49 - Step 4: Simplify right side
122.22x = 14,924.08 - Step 5: Solve for x
x = 14,924.08/122.22 - Step 6: Final answer
x = 122.11
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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.