Finding the Fourth Proportional to 2.05, 2.79 and 2.05
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Solution
The fourth proportional to 2.05, 2.79 and 2.05 is: 2.79
Step by Step Solution
- Step 1: Write the proportion equation
2.05 : 2.79 = 2.05 : x - Step 2: Convert to fraction form
2.05/2.79 = 2.05/x - Step 3: Cross multiply
2.05x = 2.79 × 2.05 - Step 4: Simplify right side
2.05x = 5.72 - Step 5: Solve for x
x = 5.72/2.05 - Step 6: Final answer
x = 2.79
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.