Finding the Fourth Proportional to 178.94, 246.74 and 120.80
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Solution
The fourth proportional to 178.94, 246.74 and 120.80 is: 166.57
Step by Step Solution
- Step 1: Write the proportion equation
178.94 : 246.74 = 120.80 : x - Step 2: Convert to fraction form
178.94/246.74 = 120.80/x - Step 3: Cross multiply
178.94x = 246.74 × 120.80 - Step 4: Simplify right side
178.94x = 29,806.19 - Step 5: Solve for x
x = 29,806.19/178.94 - Step 6: Final answer
x = 166.57
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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.