Finding the Fourth Proportional to 197.28, 296.10 and 157.14
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Solution
The fourth proportional to 197.28, 296.10 and 157.14 is: 235.85
Step by Step Solution
- Step 1: Write the proportion equation
197.28 : 296.10 = 157.14 : x - Step 2: Convert to fraction form
197.28/296.10 = 157.14/x - Step 3: Cross multiply
197.28x = 296.10 × 157.14 - Step 4: Simplify right side
197.28x = 46,529.15 - Step 5: Solve for x
x = 46,529.15/197.28 - Step 6: Final answer
x = 235.85
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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.