Finding the Fourth Proportional to 465.42, 642.24 and 299.34
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Solution
The fourth proportional to 465.42, 642.24 and 299.34 is: 413.06
Step by Step Solution
- Step 1: Write the proportion equation
465.42 : 642.24 = 299.34 : x - Step 2: Convert to fraction form
465.42/642.24 = 299.34/x - Step 3: Cross multiply
465.42x = 642.24 × 299.34 - Step 4: Simplify right side
465.42x = 192,248.12 - Step 5: Solve for x
x = 192,248.12/465.42 - Step 6: Final answer
x = 413.06
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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.