Finding the Fourth Proportional to 313.09, 432.21 and 202.75
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Solution
The fourth proportional to 313.09, 432.21 and 202.75 is: 279.89
Step by Step Solution
- Step 1: Write the proportion equation
313.09 : 432.21 = 202.75 : x - Step 2: Convert to fraction form
313.09/432.21 = 202.75/x - Step 3: Cross multiply
313.09x = 432.21 × 202.75 - Step 4: Simplify right side
313.09x = 87,632.12 - Step 5: Solve for x
x = 87,632.12/313.09 - Step 6: Final answer
x = 279.89
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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.