Finding the Fourth Proportional to 312.26, 430.93 and 201.78
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Solution
The fourth proportional to 312.26, 430.93 and 201.78 is: 278.46
Step by Step Solution
- Step 1: Write the proportion equation
312.26 : 430.93 = 201.78 : x - Step 2: Convert to fraction form
312.26/430.93 = 201.78/x - Step 3: Cross multiply
312.26x = 430.93 × 201.78 - Step 4: Simplify right side
312.26x = 86,953.31 - Step 5: Solve for x
x = 86,953.31/312.26 - Step 6: Final answer
x = 278.46
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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.