Finding the Fourth Proportional to 284.24, 391.84 and 228.98
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Solution
The fourth proportional to 284.24, 391.84 and 228.98 is: 315.66
Step by Step Solution
- Step 1: Write the proportion equation
284.24 : 391.84 = 228.98 : x - Step 2: Convert to fraction form
284.24/391.84 = 228.98/x - Step 3: Cross multiply
284.24x = 391.84 × 228.98 - Step 4: Simplify right side
284.24x = 89,720.99 - Step 5: Solve for x
x = 89,720.99/284.24 - Step 6: Final answer
x = 315.66
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.