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Finding the Fourth Proportional to 354.94, 490.14 and 267.46

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Solution

The fourth proportional to 354.94, 490.14 and 267.46 is: 369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.94 : 490.14 = 267.46 : x
  2. Step 2: Convert to fraction form
    354.94/490.14 = 267.46/x
  3. Step 3: Cross multiply
    354.94x = 490.14 × 267.46
  4. Step 4: Simplify right side
    354.94x = 131,092.84
  5. Step 5: Solve for x
    x = 131,092.84/354.94
  6. Step 6: Final answer
    x = 369.34

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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.