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Finding the Fourth Proportional to 355.91, 490.56 and 268.43

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Solution

The fourth proportional to 355.91, 490.56 and 268.43 is: 369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.91 : 490.56 = 268.43 : x
  2. Step 2: Convert to fraction form
    355.91/490.56 = 268.43/x
  3. Step 3: Cross multiply
    355.91x = 490.56 × 268.43
  4. Step 4: Simplify right side
    355.91x = 131,678.57
  5. Step 5: Solve for x
    x = 131,678.57/355.91
  6. Step 6: Final answer
    x = 369.98

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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.