Finding the Fourth Proportional to 221.26, 304.86 and 179.68
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Solution
The fourth proportional to 221.26, 304.86 and 179.68 is: 247.57
Step by Step Solution
- Step 1: Write the proportion equation
221.26 : 304.86 = 179.68 : x - Step 2: Convert to fraction form
221.26/304.86 = 179.68/x - Step 3: Cross multiply
221.26x = 304.86 × 179.68 - Step 4: Simplify right side
221.26x = 54,777.24 - Step 5: Solve for x
x = 54,777.24/221.26 - Step 6: Final answer
x = 247.57
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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.