Finding the Fourth Proportional to 209.65, 313.79 and 147.99
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Solution
The fourth proportional to 209.65, 313.79 and 147.99 is: 221.50
Step by Step Solution
- Step 1: Write the proportion equation
209.65 : 313.79 = 147.99 : x - Step 2: Convert to fraction form
209.65/313.79 = 147.99/x - Step 3: Cross multiply
209.65x = 313.79 × 147.99 - Step 4: Simplify right side
209.65x = 46,438.04 - Step 5: Solve for x
x = 46,438.04/209.65 - Step 6: Final answer
x = 221.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.