Finding the Fourth Proportional to 119.21, 178.45 and 107.80
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Solution
The fourth proportional to 119.21, 178.45 and 107.80 is: 161.37
Step by Step Solution
- Step 1: Write the proportion equation
119.21 : 178.45 = 107.80 : x - Step 2: Convert to fraction form
119.21/178.45 = 107.80/x - Step 3: Cross multiply
119.21x = 178.45 × 107.80 - Step 4: Simplify right side
119.21x = 19,236.19 - Step 5: Solve for x
x = 19,236.19/119.21 - Step 6: Final answer
x = 161.37
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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.