Finding the Fourth Proportional to 415.84, 622.96 and 232.68
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Solution
The fourth proportional to 415.84, 622.96 and 232.68 is: 348.57
Step by Step Solution
- Step 1: Write the proportion equation
415.84 : 622.96 = 232.68 : x - Step 2: Convert to fraction form
415.84/622.96 = 232.68/x - Step 3: Cross multiply
415.84x = 622.96 × 232.68 - Step 4: Simplify right side
415.84x = 144,951.21 - Step 5: Solve for x
x = 144,951.21/415.84 - Step 6: Final answer
x = 348.57
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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.