Finding the Fourth Proportional to 312.31, 430.99 and 179.55
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Solution
The fourth proportional to 312.31, 430.99 and 179.55 is: 247.78
Step by Step Solution
- Step 1: Write the proportion equation
312.31 : 430.99 = 179.55 : x - Step 2: Convert to fraction form
312.31/430.99 = 179.55/x - Step 3: Cross multiply
312.31x = 430.99 × 179.55 - Step 4: Simplify right side
312.31x = 77,384.25 - Step 5: Solve for x
x = 77,384.25/312.31 - Step 6: Final answer
x = 247.78
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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.