Finding the Fourth Proportional to 392.93, 589.14 and 197.70
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Solution
The fourth proportional to 392.93, 589.14 and 197.70 is: 296.42
Step by Step Solution
- Step 1: Write the proportion equation
392.93 : 589.14 = 197.70 : x - Step 2: Convert to fraction form
392.93/589.14 = 197.70/x - Step 3: Cross multiply
392.93x = 589.14 × 197.70 - Step 4: Simplify right side
392.93x = 116,472.98 - Step 5: Solve for x
x = 116,472.98/392.93 - Step 6: Final answer
x = 296.42
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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.