Finding the Fourth Proportional to 209.68, 289.42 and 126.74
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Solution
The fourth proportional to 209.68, 289.42 and 126.74 is: 174.94
Step by Step Solution
- Step 1: Write the proportion equation
209.68 : 289.42 = 126.74 : x - Step 2: Convert to fraction form
209.68/289.42 = 126.74/x - Step 3: Cross multiply
209.68x = 289.42 × 126.74 - Step 4: Simplify right side
209.68x = 36,681.09 - Step 5: Solve for x
x = 36,681.09/209.68 - Step 6: Final answer
x = 174.94
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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.