Finding the Fourth Proportional to 367.19, 506.70 and 209.78
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Solution
The fourth proportional to 367.19, 506.70 and 209.78 is: 289.48
Step by Step Solution
- Step 1: Write the proportion equation
367.19 : 506.70 = 209.78 : x - Step 2: Convert to fraction form
367.19/506.70 = 209.78/x - Step 3: Cross multiply
367.19x = 506.70 × 209.78 - Step 4: Simplify right side
367.19x = 106,292.99 - Step 5: Solve for x
x = 106,292.99/367.19 - Step 6: Final answer
x = 289.48
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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.