Finding the Fourth Proportional to 205.92, 284.58 and 153.63
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Solution
The fourth proportional to 205.92, 284.58 and 153.63 is: 212.32
Step by Step Solution
- Step 1: Write the proportion equation
205.92 : 284.58 = 153.63 : x - Step 2: Convert to fraction form
205.92/284.58 = 153.63/x - Step 3: Cross multiply
205.92x = 284.58 × 153.63 - Step 4: Simplify right side
205.92x = 43,720.58 - Step 5: Solve for x
x = 43,720.58/205.92 - Step 6: Final answer
x = 212.32
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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.