Finding the Fourth Proportional to 197.20, 296.08 and 110.70
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Solution
The fourth proportional to 197.20, 296.08 and 110.70 is: 166.21
Step by Step Solution
- Step 1: Write the proportion equation
197.20 : 296.08 = 110.70 : x - Step 2: Convert to fraction form
197.20/296.08 = 110.70/x - Step 3: Cross multiply
197.20x = 296.08 × 110.70 - Step 4: Simplify right side
197.20x = 32,776.06 - Step 5: Solve for x
x = 32,776.06/197.20 - Step 6: Final answer
x = 166.21
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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.