Finding the Fourth Proportional to 312.99, 469 and 198.75
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Solution
The fourth proportional to 312.99, 469 and 198.75 is: 297.82
Step by Step Solution
- Step 1: Write the proportion equation
312.99 : 469 = 198.75 : x - Step 2: Convert to fraction form
312.99/469 = 198.75/x - Step 3: Cross multiply
312.99x = 469 × 198.75 - Step 4: Simplify right side
312.99x = 93,213.75 - Step 5: Solve for x
x = 93,213.75/312.99 - Step 6: Final answer
x = 297.82
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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.