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Finding the Fourth Proportional to 358.36, 494.50 and 208.95

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Solution

The fourth proportional to 358.36, 494.50 and 208.95 is: 288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.36 : 494.50 = 208.95 : x
  2. Step 2: Convert to fraction form
    358.36/494.50 = 208.95/x
  3. Step 3: Cross multiply
    358.36x = 494.50 × 208.95
  4. Step 4: Simplify right side
    358.36x = 103,324.73
  5. Step 5: Solve for x
    x = 103,324.73/358.36
  6. Step 6: Final answer
    x = 288.33

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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.