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Finding the Fourth Proportional to 355.69, 490.77 and 206.25

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Solution

The fourth proportional to 355.69, 490.77 and 206.25 is: 284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.69 : 490.77 = 206.25 : x
  2. Step 2: Convert to fraction form
    355.69/490.77 = 206.25/x
  3. Step 3: Cross multiply
    355.69x = 490.77 × 206.25
  4. Step 4: Simplify right side
    355.69x = 101,221.31
  5. Step 5: Solve for x
    x = 101,221.31/355.69
  6. Step 6: Final answer
    x = 284.58

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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.