Finding the Fourth Proportional to 407.99, 612.16 and 164.99
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Solution
The fourth proportional to 407.99, 612.16 and 164.99 is: 247.56
Step by Step Solution
- Step 1: Write the proportion equation
407.99 : 612.16 = 164.99 : x - Step 2: Convert to fraction form
407.99/612.16 = 164.99/x - Step 3: Cross multiply
407.99x = 612.16 × 164.99 - Step 4: Simplify right side
407.99x = 101,000.28 - Step 5: Solve for x
x = 101,000.28/407.99 - Step 6: Final answer
x = 247.56
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.