Finding the Fourth Proportional to 202.26, 279.14 and 114.95
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Solution
The fourth proportional to 202.26, 279.14 and 114.95 is: 158.64
Step by Step Solution
- Step 1: Write the proportion equation
202.26 : 279.14 = 114.95 : x - Step 2: Convert to fraction form
202.26/279.14 = 114.95/x - Step 3: Cross multiply
202.26x = 279.14 × 114.95 - Step 4: Simplify right side
202.26x = 32,087.14 - Step 5: Solve for x
x = 32,087.14/202.26 - Step 6: Final answer
x = 158.64
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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.