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Finding the Fourth Proportional to 358.74, 494.64 and 227.61

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Solution

The fourth proportional to 358.74, 494.64 and 227.61 is: 313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.74 : 494.64 = 227.61 : x
  2. Step 2: Convert to fraction form
    358.74/494.64 = 227.61/x
  3. Step 3: Cross multiply
    358.74x = 494.64 × 227.61
  4. Step 4: Simplify right side
    358.74x = 112,585.01
  5. Step 5: Solve for x
    x = 112,585.01/358.74
  6. Step 6: Final answer
    x = 313.83

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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.