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Finding the Fourth Proportional to 355.97, 490.83 and 262.59

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Solution

The fourth proportional to 355.97, 490.83 and 262.59 is: 362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.97 : 490.83 = 262.59 : x
  2. Step 2: Convert to fraction form
    355.97/490.83 = 262.59/x
  3. Step 3: Cross multiply
    355.97x = 490.83 × 262.59
  4. Step 4: Simplify right side
    355.97x = 128,887.05
  5. Step 5: Solve for x
    x = 128,887.05/355.97
  6. Step 6: Final answer
    x = 362.08

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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.