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Finding the Fourth Proportional to 355.91, 491.25 and 208.61

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Solution

The fourth proportional to 355.91, 491.25 and 208.61 is: 287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.91 : 491.25 = 208.61 : x
  2. Step 2: Convert to fraction form
    355.91/491.25 = 208.61/x
  3. Step 3: Cross multiply
    355.91x = 491.25 × 208.61
  4. Step 4: Simplify right side
    355.91x = 102,479.66
  5. Step 5: Solve for x
    x = 102,479.66/355.91
  6. Step 6: Final answer
    x = 287.94

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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.