Finding the Fourth Proportional to 205.53, 283.74 and 135.65
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Solution
The fourth proportional to 205.53, 283.74 and 135.65 is: 187.26
Step by Step Solution
- Step 1: Write the proportion equation
205.53 : 283.74 = 135.65 : x - Step 2: Convert to fraction form
205.53/283.74 = 135.65/x - Step 3: Cross multiply
205.53x = 283.74 × 135.65 - Step 4: Simplify right side
205.53x = 38,487.91 - Step 5: Solve for x
x = 38,487.91/205.53 - Step 6: Final answer
x = 187.26
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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.