Finding the Fourth Proportional to 202.74, 280.36 and 199.09
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Solution
The fourth proportional to 202.74, 280.36 and 199.09 is: 275.32
Step by Step Solution
- Step 1: Write the proportion equation
202.74 : 280.36 = 199.09 : x - Step 2: Convert to fraction form
202.74/280.36 = 199.09/x - Step 3: Cross multiply
202.74x = 280.36 × 199.09 - Step 4: Simplify right side
202.74x = 55,816.87 - Step 5: Solve for x
x = 55,816.87/202.74 - Step 6: Final answer
x = 275.32
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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.