Finding the Fourth Proportional to 319.81, 441.38 and 207.74
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Solution
The fourth proportional to 319.81, 441.38 and 207.74 is: 286.71
Step by Step Solution
- Step 1: Write the proportion equation
319.81 : 441.38 = 207.74 : x - Step 2: Convert to fraction form
319.81/441.38 = 207.74/x - Step 3: Cross multiply
319.81x = 441.38 × 207.74 - Step 4: Simplify right side
319.81x = 91,691.24 - Step 5: Solve for x
x = 91,691.24/319.81 - Step 6: Final answer
x = 286.71
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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.