Finding the Fourth Proportional to 205.34, 283.37 and 117.99
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Solution
The fourth proportional to 205.34, 283.37 and 117.99 is: 162.83
Step by Step Solution
- Step 1: Write the proportion equation
205.34 : 283.37 = 117.99 : x - Step 2: Convert to fraction form
205.34/283.37 = 117.99/x - Step 3: Cross multiply
205.34x = 283.37 × 117.99 - Step 4: Simplify right side
205.34x = 33,434.24 - Step 5: Solve for x
x = 33,434.24/205.34 - Step 6: Final answer
x = 162.83
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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.