Finding the Fourth Proportional to 197.81, 296.97 and 133.23
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Solution
The fourth proportional to 197.81, 296.97 and 133.23 is: 200.02
Step by Step Solution
- Step 1: Write the proportion equation
197.81 : 296.97 = 133.23 : x - Step 2: Convert to fraction form
197.81/296.97 = 133.23/x - Step 3: Cross multiply
197.81x = 296.97 × 133.23 - Step 4: Simplify right side
197.81x = 39,565.31 - Step 5: Solve for x
x = 39,565.31/197.81 - Step 6: Final answer
x = 200.02
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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.