Finding the Fourth Proportional to 409.41, 564.19 and 261.79
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Solution
The fourth proportional to 409.41, 564.19 and 261.79 is: 360.76
Step by Step Solution
- Step 1: Write the proportion equation
409.41 : 564.19 = 261.79 : x - Step 2: Convert to fraction form
409.41/564.19 = 261.79/x - Step 3: Cross multiply
409.41x = 564.19 × 261.79 - Step 4: Simplify right side
409.41x = 147,697.24 - Step 5: Solve for x
x = 147,697.24/409.41 - Step 6: Final answer
x = 360.76
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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.