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Finding the Fourth Proportional to 322.63, 481.18 and 274.19

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Solution

The fourth proportional to 322.63, 481.18 and 274.19 is: 408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.63 : 481.18 = 274.19 : x
  2. Step 2: Convert to fraction form
    322.63/481.18 = 274.19/x
  3. Step 3: Cross multiply
    322.63x = 481.18 × 274.19
  4. Step 4: Simplify right side
    322.63x = 131,934.74
  5. Step 5: Solve for x
    x = 131,934.74/322.63
  6. Step 6: Final answer
    x = 408.94

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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.