Finding the Fourth Proportional to 209.19, 288.68 and 115.93
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Solution
The fourth proportional to 209.19, 288.68 and 115.93 is: 159.98
Step by Step Solution
- Step 1: Write the proportion equation
209.19 : 288.68 = 115.93 : x - Step 2: Convert to fraction form
209.19/288.68 = 115.93/x - Step 3: Cross multiply
209.19x = 288.68 × 115.93 - Step 4: Simplify right side
209.19x = 33,466.67 - Step 5: Solve for x
x = 33,466.67/209.19 - Step 6: Final answer
x = 159.98
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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.