Finding the Fourth Proportional to 205.68, 283.84 and 135.78
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Solution
The fourth proportional to 205.68, 283.84 and 135.78 is: 187.38
Step by Step Solution
- Step 1: Write the proportion equation
205.68 : 283.84 = 135.78 : x - Step 2: Convert to fraction form
205.68/283.84 = 135.78/x - Step 3: Cross multiply
205.68x = 283.84 × 135.78 - Step 4: Simplify right side
205.68x = 38,539.80 - Step 5: Solve for x
x = 38,539.80/205.68 - Step 6: Final answer
x = 187.38
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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.