Finding the Fourth Proportional to 197.09, 272.07 and 130.80
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Solution
The fourth proportional to 197.09, 272.07 and 130.80 is: 180.57
Step by Step Solution
- Step 1: Write the proportion equation
197.09 : 272.07 = 130.80 : x - Step 2: Convert to fraction form
197.09/272.07 = 130.80/x - Step 3: Cross multiply
197.09x = 272.07 × 130.80 - Step 4: Simplify right side
197.09x = 35,586.76 - Step 5: Solve for x
x = 35,586.76/197.09 - Step 6: Final answer
x = 180.57
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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.