Finding the Fourth Proportional to 305.24, 457.88 and 257.08
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Solution
The fourth proportional to 305.24, 457.88 and 257.08 is: 385.64
Step by Step Solution
- Step 1: Write the proportion equation
305.24 : 457.88 = 257.08 : x - Step 2: Convert to fraction form
305.24/457.88 = 257.08/x - Step 3: Cross multiply
305.24x = 457.88 × 257.08 - Step 4: Simplify right side
305.24x = 117,711.79 - Step 5: Solve for x
x = 117,711.79/305.24 - Step 6: Final answer
x = 385.64
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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.