Finding the Fourth Proportional to 202.92, 304.44 and 157.20
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Solution
The fourth proportional to 202.92, 304.44 and 157.20 is: 235.85
Step by Step Solution
- Step 1: Write the proportion equation
202.92 : 304.44 = 157.20 : x - Step 2: Convert to fraction form
202.92/304.44 = 157.20/x - Step 3: Cross multiply
202.92x = 304.44 × 157.20 - Step 4: Simplify right side
202.92x = 47,857.97 - Step 5: Solve for x
x = 47,857.97/202.92 - Step 6: Final answer
x = 235.85
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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.