Finding the Fourth Proportional to 473.21, 709.19 and 199.14
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Solution
The fourth proportional to 473.21, 709.19 and 199.14 is: 298.45
Step by Step Solution
- Step 1: Write the proportion equation
473.21 : 709.19 = 199.14 : x - Step 2: Convert to fraction form
473.21/709.19 = 199.14/x - Step 3: Cross multiply
473.21x = 709.19 × 199.14 - Step 4: Simplify right side
473.21x = 141,228.10 - Step 5: Solve for x
x = 141,228.10/473.21 - Step 6: Final answer
x = 298.45
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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.