Finding the Fourth Proportional to 369.26, 509.62 and 214
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Solution
The fourth proportional to 369.26, 509.62 and 214 is: 295.34
Step by Step Solution
- Step 1: Write the proportion equation
369.26 : 509.62 = 214 : x - Step 2: Convert to fraction form
369.26/509.62 = 214/x - Step 3: Cross multiply
369.26x = 509.62 × 214 - Step 4: Simplify right side
369.26x = 109,058.68 - Step 5: Solve for x
x = 109,058.68/369.26 - Step 6: Final answer
x = 295.34
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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.