Finding the Fourth Proportional to 312.13, 430.63 and 201.75
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Solution
The fourth proportional to 312.13, 430.63 and 201.75 is: 278.34
Step by Step Solution
- Step 1: Write the proportion equation
312.13 : 430.63 = 201.75 : x - Step 2: Convert to fraction form
312.13/430.63 = 201.75/x - Step 3: Cross multiply
312.13x = 430.63 × 201.75 - Step 4: Simplify right side
312.13x = 86,879.60 - Step 5: Solve for x
x = 86,879.60/312.13 - Step 6: Final answer
x = 278.34
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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.