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Finding the Fourth Proportional to 355.65, 490.93 and 208.28

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Solution

The fourth proportional to 355.65, 490.93 and 208.28 is: 287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.65 : 490.93 = 208.28 : x
  2. Step 2: Convert to fraction form
    355.65/490.93 = 208.28/x
  3. Step 3: Cross multiply
    355.65x = 490.93 × 208.28
  4. Step 4: Simplify right side
    355.65x = 102,249.86
  5. Step 5: Solve for x
    x = 102,249.86/355.65
  6. Step 6: Final answer
    x = 287.51

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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.