Finding the Fourth Proportional to 227.18, 313.74 and 157.41
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Solution
The fourth proportional to 227.18, 313.74 and 157.41 is: 217.39
Step by Step Solution
- Step 1: Write the proportion equation
227.18 : 313.74 = 157.41 : x - Step 2: Convert to fraction form
227.18/313.74 = 157.41/x - Step 3: Cross multiply
227.18x = 313.74 × 157.41 - Step 4: Simplify right side
227.18x = 49,385.81 - Step 5: Solve for x
x = 49,385.81/227.18 - Step 6: Final answer
x = 217.39
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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.