Finding the Fourth Proportional to 288.74, 431.08 and 283.08
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Solution
The fourth proportional to 288.74, 431.08 and 283.08 is: 422.63
Step by Step Solution
- Step 1: Write the proportion equation
288.74 : 431.08 = 283.08 : x - Step 2: Convert to fraction form
288.74/431.08 = 283.08/x - Step 3: Cross multiply
288.74x = 431.08 × 283.08 - Step 4: Simplify right side
288.74x = 122,030.13 - Step 5: Solve for x
x = 122,030.13/288.74 - Step 6: Final answer
x = 422.63
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.