Finding the Fourth Proportional to 306.24, 421.96 and 207.84
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Solution
The fourth proportional to 306.24, 421.96 and 207.84 is: 286.38
Step by Step Solution
- Step 1: Write the proportion equation
306.24 : 421.96 = 207.84 : x - Step 2: Convert to fraction form
306.24/421.96 = 207.84/x - Step 3: Cross multiply
306.24x = 421.96 × 207.84 - Step 4: Simplify right side
306.24x = 87,700.17 - Step 5: Solve for x
x = 87,700.17/306.24 - Step 6: Final answer
x = 286.38
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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.