Finding the Fourth Proportional to 205.12, 283 and 135.28
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Solution
The fourth proportional to 205.12, 283 and 135.28 is: 186.64
Step by Step Solution
- Step 1: Write the proportion equation
205.12 : 283 = 135.28 : x - Step 2: Convert to fraction form
205.12/283 = 135.28/x - Step 3: Cross multiply
205.12x = 283 × 135.28 - Step 4: Simplify right side
205.12x = 38,284.24 - Step 5: Solve for x
x = 38,284.24/205.12 - Step 6: Final answer
x = 186.64
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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.