Finding the Fourth Proportional to 311.99, 467.50 and 197.75
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Solution
The fourth proportional to 311.99, 467.50 and 197.75 is: 296.32
Step by Step Solution
- Step 1: Write the proportion equation
311.99 : 467.50 = 197.75 : x - Step 2: Convert to fraction form
311.99/467.50 = 197.75/x - Step 3: Cross multiply
311.99x = 467.50 × 197.75 - Step 4: Simplify right side
311.99x = 92,448.13 - Step 5: Solve for x
x = 92,448.13/311.99 - Step 6: Final answer
x = 296.32
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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.