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Finding the Fourth Proportional to 458.28, 687.64 and 227.19

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Solution

The fourth proportional to 458.28, 687.64 and 227.19 is: 340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.28 : 687.64 = 227.19 : x
  2. Step 2: Convert to fraction form
    458.28/687.64 = 227.19/x
  3. Step 3: Cross multiply
    458.28x = 687.64 × 227.19
  4. Step 4: Simplify right side
    458.28x = 156,224.93
  5. Step 5: Solve for x
    x = 156,224.93/458.28
  6. Step 6: Final answer
    x = 340.89

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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.