Finding the Fourth Proportional to 283.14, 424.68 and 175.14
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Solution
The fourth proportional to 283.14, 424.68 and 175.14 is: 262.69
Step by Step Solution
- Step 1: Write the proportion equation
283.14 : 424.68 = 175.14 : x - Step 2: Convert to fraction form
283.14/424.68 = 175.14/x - Step 3: Cross multiply
283.14x = 424.68 × 175.14 - Step 4: Simplify right side
283.14x = 74,378.46 - Step 5: Solve for x
x = 74,378.46/283.14 - Step 6: Final answer
x = 262.69
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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.