Finding the Fourth Proportional to 207.11, 285.84 and 119.83
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Solution
The fourth proportional to 207.11, 285.84 and 119.83 is: 165.38
Step by Step Solution
- Step 1: Write the proportion equation
207.11 : 285.84 = 119.83 : x - Step 2: Convert to fraction form
207.11/285.84 = 119.83/x - Step 3: Cross multiply
207.11x = 285.84 × 119.83 - Step 4: Simplify right side
207.11x = 34,252.21 - Step 5: Solve for x
x = 34,252.21/207.11 - Step 6: Final answer
x = 165.38
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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.