Finding the Fourth Proportional to 207.23, 285.99 and 119.90
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Solution
The fourth proportional to 207.23, 285.99 and 119.90 is: 165.47
Step by Step Solution
- Step 1: Write the proportion equation
207.23 : 285.99 = 119.90 : x - Step 2: Convert to fraction form
207.23/285.99 = 119.90/x - Step 3: Cross multiply
207.23x = 285.99 × 119.90 - Step 4: Simplify right side
207.23x = 34,290.20 - Step 5: Solve for x
x = 34,290.20/207.23 - Step 6: Final answer
x = 165.47
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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.