Finding the Fourth Proportional to 197.77, 296.70 and 76.07
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Solution
The fourth proportional to 197.77, 296.70 and 76.07 is: 114.12
Step by Step Solution
- Step 1: Write the proportion equation
197.77 : 296.70 = 76.07 : x - Step 2: Convert to fraction form
197.77/296.70 = 76.07/x - Step 3: Cross multiply
197.77x = 296.70 × 76.07 - Step 4: Simplify right side
197.77x = 22,569.97 - Step 5: Solve for x
x = 22,569.97/197.77 - Step 6: Final answer
x = 114.12
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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.