Finding the Fourth Proportional to 409.19, 613.67 and 135.23
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Solution
The fourth proportional to 409.19, 613.67 and 135.23 is: 202.80
Step by Step Solution
- Step 1: Write the proportion equation
409.19 : 613.67 = 135.23 : x - Step 2: Convert to fraction form
409.19/613.67 = 135.23/x - Step 3: Cross multiply
409.19x = 613.67 × 135.23 - Step 4: Simplify right side
409.19x = 82,982.85 - Step 5: Solve for x
x = 82,982.85/409.19 - Step 6: Final answer
x = 202.80
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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.