Finding the Fourth Proportional to 122.18, 183.44 and 76.40
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Solution
The fourth proportional to 122.18, 183.44 and 76.40 is: 114.70
Step by Step Solution
- Step 1: Write the proportion equation
122.18 : 183.44 = 76.40 : x - Step 2: Convert to fraction form
122.18/183.44 = 76.40/x - Step 3: Cross multiply
122.18x = 183.44 × 76.40 - Step 4: Simplify right side
122.18x = 14,014.09 - Step 5: Solve for x
x = 14,014.09/122.18 - Step 6: Final answer
x = 114.70
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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.