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Finding the Fourth Proportional to 358.27, 494.39 and 216.48

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Solution

The fourth proportional to 358.27, 494.39 and 216.48 is: 298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.27 : 494.39 = 216.48 : x
  2. Step 2: Convert to fraction form
    358.27/494.39 = 216.48/x
  3. Step 3: Cross multiply
    358.27x = 494.39 × 216.48
  4. Step 4: Simplify right side
    358.27x = 107,021.99
  5. Step 5: Solve for x
    x = 107,021.99/358.27
  6. Step 6: Final answer
    x = 298.72

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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.