Finding the Fourth Proportional to 209.23, 288.74 and 115.99
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Solution
The fourth proportional to 209.23, 288.74 and 115.99 is: 160.06
Step by Step Solution
- Step 1: Write the proportion equation
209.23 : 288.74 = 115.99 : x - Step 2: Convert to fraction form
209.23/288.74 = 115.99/x - Step 3: Cross multiply
209.23x = 288.74 × 115.99 - Step 4: Simplify right side
209.23x = 33,490.28 - Step 5: Solve for x
x = 33,490.28/209.23 - Step 6: Final answer
x = 160.06
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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.