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Finding the Fourth Proportional to 355.24, 490.13 and 207.78

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Solution

The fourth proportional to 355.24, 490.13 and 207.78 is: 286.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.24 : 490.13 = 207.78 : x
  2. Step 2: Convert to fraction form
    355.24/490.13 = 207.78/x
  3. Step 3: Cross multiply
    355.24x = 490.13 × 207.78
  4. Step 4: Simplify right side
    355.24x = 101,839.21
  5. Step 5: Solve for x
    x = 101,839.21/355.24
  6. Step 6: Final answer
    x = 286.68

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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.