Finding the Fourth Proportional to 286.19, 394.73 and 202.13
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Solution
The fourth proportional to 286.19, 394.73 and 202.13 is: 278.79
Step by Step Solution
- Step 1: Write the proportion equation
286.19 : 394.73 = 202.13 : x - Step 2: Convert to fraction form
286.19/394.73 = 202.13/x - Step 3: Cross multiply
286.19x = 394.73 × 202.13 - Step 4: Simplify right side
286.19x = 79,785.76 - Step 5: Solve for x
x = 79,785.76/286.19 - Step 6: Final answer
x = 278.79
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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.