Finding the Fourth Proportional to 311.99, 468.05 and 106.55
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Solution
The fourth proportional to 311.99, 468.05 and 106.55 is: 159.85
Step by Step Solution
- Step 1: Write the proportion equation
311.99 : 468.05 = 106.55 : x - Step 2: Convert to fraction form
311.99/468.05 = 106.55/x - Step 3: Cross multiply
311.99x = 468.05 × 106.55 - Step 4: Simplify right side
311.99x = 49,872.24 - Step 5: Solve for x
x = 49,872.24/311.99 - Step 6: Final answer
x = 159.85
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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.