Finding the Fourth Proportional to 278.40, 383.97 and 259.77
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Solution
The fourth proportional to 278.40, 383.97 and 259.77 is: 358.27
Step by Step Solution
- Step 1: Write the proportion equation
278.40 : 383.97 = 259.77 : x - Step 2: Convert to fraction form
278.40/383.97 = 259.77/x - Step 3: Cross multiply
278.40x = 383.97 × 259.77 - Step 4: Simplify right side
278.40x = 99,741.47 - Step 5: Solve for x
x = 99,741.47/278.40 - Step 6: Final answer
x = 358.27
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.