Finding the Fourth Proportional to 207.24, 285.84 and 145.04
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Solution
The fourth proportional to 207.24, 285.84 and 145.04 is: 200.05
Step by Step Solution
- Step 1: Write the proportion equation
207.24 : 285.84 = 145.04 : x - Step 2: Convert to fraction form
207.24/285.84 = 145.04/x - Step 3: Cross multiply
207.24x = 285.84 × 145.04 - Step 4: Simplify right side
207.24x = 41,458.23 - Step 5: Solve for x
x = 41,458.23/207.24 - Step 6: Final answer
x = 200.05
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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.