Finding the Fourth Proportional to 312.24, 467.91 and 284.91
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Solution
The fourth proportional to 312.24, 467.91 and 284.91 is: 426.95
Step by Step Solution
- Step 1: Write the proportion equation
312.24 : 467.91 = 284.91 : x - Step 2: Convert to fraction form
312.24/467.91 = 284.91/x - Step 3: Cross multiply
312.24x = 467.91 × 284.91 - Step 4: Simplify right side
312.24x = 133,312.24 - Step 5: Solve for x
x = 133,312.24/312.24 - Step 6: Final answer
x = 426.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.