Finding the Fourth Proportional to 201.64, 302.46 and 137.80
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Solution
The fourth proportional to 201.64, 302.46 and 137.80 is: 206.70
Step by Step Solution
- Step 1: Write the proportion equation
201.64 : 302.46 = 137.80 : x - Step 2: Convert to fraction form
201.64/302.46 = 137.80/x - Step 3: Cross multiply
201.64x = 302.46 × 137.80 - Step 4: Simplify right side
201.64x = 41,678.99 - Step 5: Solve for x
x = 41,678.99/201.64 - Step 6: Final answer
x = 206.70
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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.