Finding the Fourth Proportional to 313.75, 432.82 and 203.26
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Solution
The fourth proportional to 313.75, 432.82 and 203.26 is: 280.40
Step by Step Solution
- Step 1: Write the proportion equation
313.75 : 432.82 = 203.26 : x - Step 2: Convert to fraction form
313.75/432.82 = 203.26/x - Step 3: Cross multiply
313.75x = 432.82 × 203.26 - Step 4: Simplify right side
313.75x = 87,974.99 - Step 5: Solve for x
x = 87,974.99/313.75 - Step 6: Final answer
x = 280.40
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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.