Finding the Fourth Proportional to 204.75, 282.67 and 146.63
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Solution
The fourth proportional to 204.75, 282.67 and 146.63 is: 202.43
Step by Step Solution
- Step 1: Write the proportion equation
204.75 : 282.67 = 146.63 : x - Step 2: Convert to fraction form
204.75/282.67 = 146.63/x - Step 3: Cross multiply
204.75x = 282.67 × 146.63 - Step 4: Simplify right side
204.75x = 41,448.24 - Step 5: Solve for x
x = 41,448.24/204.75 - Step 6: Final answer
x = 202.43
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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.