Finding the Fourth Proportional to 306.25, 422.99 and 207.84
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Solution
The fourth proportional to 306.25, 422.99 and 207.84 is: 287.06
Step by Step Solution
- Step 1: Write the proportion equation
306.25 : 422.99 = 207.84 : x - Step 2: Convert to fraction form
306.25/422.99 = 207.84/x - Step 3: Cross multiply
306.25x = 422.99 × 207.84 - Step 4: Simplify right side
306.25x = 87,911.09 - Step 5: Solve for x
x = 87,911.09/306.25 - Step 6: Final answer
x = 287.06
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.