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Finding the Fourth Proportional to 358.78, 494.97 and 218.81

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Solution

The fourth proportional to 358.78, 494.97 and 218.81 is: 301.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.78 : 494.97 = 218.81 : x
  2. Step 2: Convert to fraction form
    358.78/494.97 = 218.81/x
  3. Step 3: Cross multiply
    358.78x = 494.97 × 218.81
  4. Step 4: Simplify right side
    358.78x = 108,304.39
  5. Step 5: Solve for x
    x = 108,304.39/358.78
  6. Step 6: Final answer
    x = 301.87

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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.