Finding the Fourth Proportional to 197.74, 296.70 and 95.00
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Solution
The fourth proportional to 197.74, 296.70 and 95.00 is: 142.55
Step by Step Solution
- Step 1: Write the proportion equation
197.74 : 296.70 = 95.00 : x - Step 2: Convert to fraction form
197.74/296.70 = 95.00/x - Step 3: Cross multiply
197.74x = 296.70 × 95.00 - Step 4: Simplify right side
197.74x = 28,187.24 - Step 5: Solve for x
x = 28,187.24/197.74 - Step 6: Final answer
x = 142.55
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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.