Finding the Fourth Proportional to 201.42, 278.10 and 157.68
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Solution
The fourth proportional to 201.42, 278.10 and 157.68 is: 217.71
Step by Step Solution
- Step 1: Write the proportion equation
201.42 : 278.10 = 157.68 : x - Step 2: Convert to fraction form
201.42/278.10 = 157.68/x - Step 3: Cross multiply
201.42x = 278.10 × 157.68 - Step 4: Simplify right side
201.42x = 43,850.81 - Step 5: Solve for x
x = 43,850.81/201.42 - Step 6: Final answer
x = 217.71
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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.