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Finding the Fourth Proportional to 358.17, 494.43 and 218.33

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Solution

The fourth proportional to 358.17, 494.43 and 218.33 is: 301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.17 : 494.43 = 218.33 : x
  2. Step 2: Convert to fraction form
    358.17/494.43 = 218.33/x
  3. Step 3: Cross multiply
    358.17x = 494.43 × 218.33
  4. Step 4: Simplify right side
    358.17x = 107,950.14
  5. Step 5: Solve for x
    x = 107,950.14/358.17
  6. Step 6: Final answer
    x = 301.39

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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.