Finding the Fourth Proportional to 201.53, 278.08 and 114.19
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Solution
The fourth proportional to 201.53, 278.08 and 114.19 is: 157.56
Step by Step Solution
- Step 1: Write the proportion equation
201.53 : 278.08 = 114.19 : x - Step 2: Convert to fraction form
201.53/278.08 = 114.19/x - Step 3: Cross multiply
201.53x = 278.08 × 114.19 - Step 4: Simplify right side
201.53x = 31,753.96 - Step 5: Solve for x
x = 31,753.96/201.53 - Step 6: Final answer
x = 157.56
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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.