Finding the Fourth Proportional to 409.74, 614.40 and 149.70
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Solution
The fourth proportional to 409.74, 614.40 and 149.70 is: 224.47
Step by Step Solution
- Step 1: Write the proportion equation
409.74 : 614.40 = 149.70 : x - Step 2: Convert to fraction form
409.74/614.40 = 149.70/x - Step 3: Cross multiply
409.74x = 614.40 × 149.70 - Step 4: Simplify right side
409.74x = 91,975.68 - Step 5: Solve for x
x = 91,975.68/409.74 - Step 6: Final answer
x = 224.47
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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.