Finding the Fourth Proportional to 212.36, 292.96 and 129.44
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Solution
The fourth proportional to 212.36, 292.96 and 129.44 is: 178.57
Step by Step Solution
- Step 1: Write the proportion equation
212.36 : 292.96 = 129.44 : x - Step 2: Convert to fraction form
212.36/292.96 = 129.44/x - Step 3: Cross multiply
212.36x = 292.96 × 129.44 - Step 4: Simplify right side
212.36x = 37,920.74 - Step 5: Solve for x
x = 37,920.74/212.36 - Step 6: Final answer
x = 178.57
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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.