Finding the Fourth Proportional to 433.70, 649.20 and 312.20
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Solution
The fourth proportional to 433.70, 649.20 and 312.20 is: 467.33
Step by Step Solution
- Step 1: Write the proportion equation
433.70 : 649.20 = 312.20 : x - Step 2: Convert to fraction form
433.70/649.20 = 312.20/x - Step 3: Cross multiply
433.70x = 649.20 × 312.20 - Step 4: Simplify right side
433.70x = 202,680.24 - Step 5: Solve for x
x = 202,680.24/433.70 - Step 6: Final answer
x = 467.33
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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.