Finding the Fourth Proportional to 369.21, 509.42 and 209.66
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Solution
The fourth proportional to 369.21, 509.42 and 209.66 is: 289.28
Step by Step Solution
- Step 1: Write the proportion equation
369.21 : 509.42 = 209.66 : x - Step 2: Convert to fraction form
369.21/509.42 = 209.66/x - Step 3: Cross multiply
369.21x = 509.42 × 209.66 - Step 4: Simplify right side
369.21x = 106,804.25 - Step 5: Solve for x
x = 106,804.25/369.21 - Step 6: Final answer
x = 289.28
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.