Finding the Fourth Proportional to 864, 1,296 and 256
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Solution
The fourth proportional to 864, 1,296 and 256 is: 384
Step by Step Solution
- Step 1: Write the proportion equation
864 : 1,296 = 256 : x - Step 2: Convert to fraction form
864/1,296 = 256/x - Step 3: Cross multiply
864x = 1,296 × 256 - Step 4: Simplify right side
864x = 331,776 - Step 5: Solve for x
x = 331,776/864 - Step 6: Final answer
x = 384
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.