Finding the Fourth Proportional to 309.99, 427.68 and 205.23
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Solution
The fourth proportional to 309.99, 427.68 and 205.23 is: 283.15
Step by Step Solution
- Step 1: Write the proportion equation
309.99 : 427.68 = 205.23 : x - Step 2: Convert to fraction form
309.99/427.68 = 205.23/x - Step 3: Cross multiply
309.99x = 427.68 × 205.23 - Step 4: Simplify right side
309.99x = 87,772.77 - Step 5: Solve for x
x = 87,772.77/309.99 - Step 6: Final answer
x = 283.15
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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.