Finding the Fourth Proportional to 305.63, 457.84 and 189.80
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Solution
The fourth proportional to 305.63, 457.84 and 189.80 is: 284.32
Step by Step Solution
- Step 1: Write the proportion equation
305.63 : 457.84 = 189.80 : x - Step 2: Convert to fraction form
305.63/457.84 = 189.80/x - Step 3: Cross multiply
305.63x = 457.84 × 189.80 - Step 4: Simplify right side
305.63x = 86,897.08 - Step 5: Solve for x
x = 86,897.08/305.63 - Step 6: Final answer
x = 284.32
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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.