Finding the Fourth Proportional to 209.40, 288.99 and 126.58
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Solution
The fourth proportional to 209.40, 288.99 and 126.58 is: 174.69
Step by Step Solution
- Step 1: Write the proportion equation
209.40 : 288.99 = 126.58 : x - Step 2: Convert to fraction form
209.40/288.99 = 126.58/x - Step 3: Cross multiply
209.40x = 288.99 × 126.58 - Step 4: Simplify right side
209.40x = 36,579.23 - Step 5: Solve for x
x = 36,579.23/209.40 - Step 6: Final answer
x = 174.69
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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.