Finding the Fourth Proportional to 306.63, 423.09 and 175.64
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Solution
The fourth proportional to 306.63, 423.09 and 175.64 is: 242.34
Step by Step Solution
- Step 1: Write the proportion equation
306.63 : 423.09 = 175.64 : x - Step 2: Convert to fraction form
306.63/423.09 = 175.64/x - Step 3: Cross multiply
306.63x = 423.09 × 175.64 - Step 4: Simplify right side
306.63x = 74,309.41 - Step 5: Solve for x
x = 74,309.41/306.63 - Step 6: Final answer
x = 242.34
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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.