Finding the Fourth Proportional to 420.94, 631.08 and 177.66
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Solution
The fourth proportional to 420.94, 631.08 and 177.66 is: 266.35
Step by Step Solution
- Step 1: Write the proportion equation
420.94 : 631.08 = 177.66 : x - Step 2: Convert to fraction form
420.94/631.08 = 177.66/x - Step 3: Cross multiply
420.94x = 631.08 × 177.66 - Step 4: Simplify right side
420.94x = 112,117.67 - Step 5: Solve for x
x = 112,117.67/420.94 - Step 6: Final answer
x = 266.35
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.