Finding the Fourth Proportional to 282.78, 390.26 and 177.91
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Solution
The fourth proportional to 282.78, 390.26 and 177.91 is: 245.53
Step by Step Solution
- Step 1: Write the proportion equation
282.78 : 390.26 = 177.91 : x - Step 2: Convert to fraction form
282.78/390.26 = 177.91/x - Step 3: Cross multiply
282.78x = 390.26 × 177.91 - Step 4: Simplify right side
282.78x = 69,430.63 - Step 5: Solve for x
x = 69,430.63/282.78 - Step 6: Final answer
x = 245.53
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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.