Finding the Fourth Proportional to 292.70, 403.92 and 161.70
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Solution
The fourth proportional to 292.70, 403.92 and 161.70 is: 223.15
Step by Step Solution
- Step 1: Write the proportion equation
292.70 : 403.92 = 161.70 : x - Step 2: Convert to fraction form
292.70/403.92 = 161.70/x - Step 3: Cross multiply
292.70x = 403.92 × 161.70 - Step 4: Simplify right side
292.70x = 65,315.99 - Step 5: Solve for x
x = 65,315.99/292.70 - Step 6: Final answer
x = 223.15
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.