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Finding the Fourth Proportional to 458.39, 687.17 and 227.37

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Solution

The fourth proportional to 458.39, 687.17 and 227.37 is: 340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.39 : 687.17 = 227.37 : x
  2. Step 2: Convert to fraction form
    458.39/687.17 = 227.37/x
  3. Step 3: Cross multiply
    458.39x = 687.17 × 227.37
  4. Step 4: Simplify right side
    458.39x = 156,240.71
  5. Step 5: Solve for x
    x = 156,240.71/458.39
  6. Step 6: Final answer
    x = 340.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.