Finding the Fourth Proportional to 202.97, 304.57 and 157.41
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Solution
The fourth proportional to 202.97, 304.57 and 157.41 is: 236.19
Step by Step Solution
- Step 1: Write the proportion equation
202.97 : 304.57 = 157.41 : x - Step 2: Convert to fraction form
202.97/304.57 = 157.41/x - Step 3: Cross multiply
202.97x = 304.57 × 157.41 - Step 4: Simplify right side
202.97x = 47,940.05 - Step 5: Solve for x
x = 47,940.05/202.97 - Step 6: Final answer
x = 236.19
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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.