Finding the Fourth Proportional to 120.19, 180.36 and 51.77
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Solution
The fourth proportional to 120.19, 180.36 and 51.77 is: 77.69
Step by Step Solution
- Step 1: Write the proportion equation
120.19 : 180.36 = 51.77 : x - Step 2: Convert to fraction form
120.19/180.36 = 51.77/x - Step 3: Cross multiply
120.19x = 180.36 × 51.77 - Step 4: Simplify right side
120.19x = 9,337.24 - Step 5: Solve for x
x = 9,337.24/120.19 - Step 6: Final answer
x = 77.69
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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.