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Finding the Fourth Proportional to 354.82, 490.11 and 272.94

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Solution

The fourth proportional to 354.82, 490.11 and 272.94 is: 377.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.82 : 490.11 = 272.94 : x
  2. Step 2: Convert to fraction form
    354.82/490.11 = 272.94/x
  3. Step 3: Cross multiply
    354.82x = 490.11 × 272.94
  4. Step 4: Simplify right side
    354.82x = 133,770.62
  5. Step 5: Solve for x
    x = 133,770.62/354.82
  6. Step 6: Final answer
    x = 377.01

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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.