Finding the Fourth Proportional to 311.63, 467.01 and 174.74
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Solution
The fourth proportional to 311.63, 467.01 and 174.74 is: 261.86
Step by Step Solution
- Step 1: Write the proportion equation
311.63 : 467.01 = 174.74 : x - Step 2: Convert to fraction form
311.63/467.01 = 174.74/x - Step 3: Cross multiply
311.63x = 467.01 × 174.74 - Step 4: Simplify right side
311.63x = 81,602.99 - Step 5: Solve for x
x = 81,602.99/311.63 - Step 6: Final answer
x = 261.86
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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.