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Finding the Fourth Proportional to 358.22, 494.24 and 208.80

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Solution

The fourth proportional to 358.22, 494.24 and 208.80 is: 288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.22 : 494.24 = 208.80 : x
  2. Step 2: Convert to fraction form
    358.22/494.24 = 208.80/x
  3. Step 3: Cross multiply
    358.22x = 494.24 × 208.80
  4. Step 4: Simplify right side
    358.22x = 103,197.31
  5. Step 5: Solve for x
    x = 103,197.31/358.22
  6. Step 6: Final answer
    x = 288.08

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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.