Finding the Fourth Proportional to 398.12, 596.68 and 192.63
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Solution
The fourth proportional to 398.12, 596.68 and 192.63 is: 288.71
Step by Step Solution
- Step 1: Write the proportion equation
398.12 : 596.68 = 192.63 : x - Step 2: Convert to fraction form
398.12/596.68 = 192.63/x - Step 3: Cross multiply
398.12x = 596.68 × 192.63 - Step 4: Simplify right side
398.12x = 114,937.99 - Step 5: Solve for x
x = 114,937.99/398.12 - Step 6: Final answer
x = 288.71
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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.