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Finding the Fourth Proportional to 358.26, 494.55 and 227.31

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Solution

The fourth proportional to 358.26, 494.55 and 227.31 is: 313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.26 : 494.55 = 227.31 : x
  2. Step 2: Convert to fraction form
    358.26/494.55 = 227.31/x
  3. Step 3: Cross multiply
    358.26x = 494.55 × 227.31
  4. Step 4: Simplify right side
    358.26x = 112,416.16
  5. Step 5: Solve for x
    x = 112,416.16/358.26
  6. Step 6: Final answer
    x = 313.78

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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.