Finding the Fourth Proportional to 201.97, 278.65 and 119.10
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Solution
The fourth proportional to 201.97, 278.65 and 119.10 is: 164.32
Step by Step Solution
- Step 1: Write the proportion equation
201.97 : 278.65 = 119.10 : x - Step 2: Convert to fraction form
201.97/278.65 = 119.10/x - Step 3: Cross multiply
201.97x = 278.65 × 119.10 - Step 4: Simplify right side
201.97x = 33,186.62 - Step 5: Solve for x
x = 33,186.62/201.97 - Step 6: Final answer
x = 164.32
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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.