Finding the Fourth Proportional to 216.23, 324.09 and 147.74
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Solution
The fourth proportional to 216.23, 324.09 and 147.74 is: 221.43
Step by Step Solution
- Step 1: Write the proportion equation
216.23 : 324.09 = 147.74 : x - Step 2: Convert to fraction form
216.23/324.09 = 147.74/x - Step 3: Cross multiply
216.23x = 324.09 × 147.74 - Step 4: Simplify right side
216.23x = 47,879.44 - Step 5: Solve for x
x = 47,879.44/216.23 - Step 6: Final answer
x = 221.43
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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.