Finding the Fourth Proportional to 409.70, 614.84 and 226.91
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Solution
The fourth proportional to 409.70, 614.84 and 226.91 is: 340.52
Step by Step Solution
- Step 1: Write the proportion equation
409.70 : 614.84 = 226.91 : x - Step 2: Convert to fraction form
409.70/614.84 = 226.91/x - Step 3: Cross multiply
409.70x = 614.84 × 226.91 - Step 4: Simplify right side
409.70x = 139,509.14 - Step 5: Solve for x
x = 139,509.14/409.70 - Step 6: Final answer
x = 340.52
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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.