Finding the Fourth Proportional to 182.10, 251.39 and 120.02
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Solution
The fourth proportional to 182.10, 251.39 and 120.02 is: 165.69
Step by Step Solution
- Step 1: Write the proportion equation
182.10 : 251.39 = 120.02 : x - Step 2: Convert to fraction form
182.10/251.39 = 120.02/x - Step 3: Cross multiply
182.10x = 251.39 × 120.02 - Step 4: Simplify right side
182.10x = 30,171.83 - Step 5: Solve for x
x = 30,171.83/182.10 - Step 6: Final answer
x = 165.69
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.