Finding the Fourth Proportional to 286.14, 430.76 and 260.63
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Solution
The fourth proportional to 286.14, 430.76 and 260.63 is: 392.35
Step by Step Solution
- Step 1: Write the proportion equation
286.14 : 430.76 = 260.63 : x - Step 2: Convert to fraction form
286.14/430.76 = 260.63/x - Step 3: Cross multiply
286.14x = 430.76 × 260.63 - Step 4: Simplify right side
286.14x = 112,269.09 - Step 5: Solve for x
x = 112,269.09/286.14 - Step 6: Final answer
x = 392.35
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.