Finding the Fourth Proportional to 197.74, 296.97 and 133.66
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Solution
The fourth proportional to 197.74, 296.97 and 133.66 is: 200.73
Step by Step Solution
- Step 1: Write the proportion equation
197.74 : 296.97 = 133.66 : x - Step 2: Convert to fraction form
197.74/296.97 = 133.66/x - Step 3: Cross multiply
197.74x = 296.97 × 133.66 - Step 4: Simplify right side
197.74x = 39,693.01 - Step 5: Solve for x
x = 39,693.01/197.74 - Step 6: Final answer
x = 200.73
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.