Finding the Fourth Proportional to 427.26, 589.14 and 302.70
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Solution
The fourth proportional to 427.26, 589.14 and 302.70 is: 417.39
Step by Step Solution
- Step 1: Write the proportion equation
427.26 : 589.14 = 302.70 : x - Step 2: Convert to fraction form
427.26/589.14 = 302.70/x - Step 3: Cross multiply
427.26x = 589.14 × 302.70 - Step 4: Simplify right side
427.26x = 178,332.68 - Step 5: Solve for x
x = 178,332.68/427.26 - Step 6: Final answer
x = 417.39
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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.