Finding the Fourth Proportional to 120.13, 180.33 and 119.68
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Solution
The fourth proportional to 120.13, 180.33 and 119.68 is: 179.64
Step by Step Solution
- Step 1: Write the proportion equation
120.13 : 180.33 = 119.68 : x - Step 2: Convert to fraction form
120.13/180.33 = 119.68/x - Step 3: Cross multiply
120.13x = 180.33 × 119.68 - Step 4: Simplify right side
120.13x = 21,580.99 - Step 5: Solve for x
x = 21,580.99/120.13 - Step 6: Final answer
x = 179.64
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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.