Finding the Fourth Proportional to 305.14, 457.62 and 85.75
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Solution
The fourth proportional to 305.14, 457.62 and 85.75 is: 128.60
Step by Step Solution
- Step 1: Write the proportion equation
305.14 : 457.62 = 85.75 : x - Step 2: Convert to fraction form
305.14/457.62 = 85.75/x - Step 3: Cross multiply
305.14x = 457.62 × 85.75 - Step 4: Simplify right side
305.14x = 39,241.13 - Step 5: Solve for x
x = 39,241.13/305.14 - Step 6: Final answer
x = 128.60
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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.