Finding the Fourth Proportional to 120.13, 180.21 and 34.63
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Solution
The fourth proportional to 120.13, 180.21 and 34.63 is: 51.95
Step by Step Solution
- Step 1: Write the proportion equation
120.13 : 180.21 = 34.63 : x - Step 2: Convert to fraction form
120.13/180.21 = 34.63/x - Step 3: Cross multiply
120.13x = 180.21 × 34.63 - Step 4: Simplify right side
120.13x = 6,240.67 - Step 5: Solve for x
x = 6,240.67/120.13 - Step 6: Final answer
x = 51.95
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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.