Finding the Fourth Proportional to 358.70, 538.09 and 204.68
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Solution
The fourth proportional to 358.70, 538.09 and 204.68 is: 307.05
Step by Step Solution
- Step 1: Write the proportion equation
358.70 : 538.09 = 204.68 : x - Step 2: Convert to fraction form
358.70/538.09 = 204.68/x - Step 3: Cross multiply
358.70x = 538.09 × 204.68 - Step 4: Simplify right side
358.70x = 110,137.09 - Step 5: Solve for x
x = 110,137.09/358.70 - Step 6: Final answer
x = 307.05
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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.