Finding the Fourth Proportional to 378.65, 567.99 and 135.09
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Solution
The fourth proportional to 378.65, 567.99 and 135.09 is: 202.64
Step by Step Solution
- Step 1: Write the proportion equation
378.65 : 567.99 = 135.09 : x - Step 2: Convert to fraction form
378.65/567.99 = 135.09/x - Step 3: Cross multiply
378.65x = 567.99 × 135.09 - Step 4: Simplify right side
378.65x = 76,729.77 - Step 5: Solve for x
x = 76,729.77/378.65 - Step 6: Final answer
x = 202.64
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.