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Finding the Fourth Proportional to 304.28, 458.20 and 223.68

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Solution

The fourth proportional to 304.28, 458.20 and 223.68 is: 336.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.28 : 458.20 = 223.68 : x
  2. Step 2: Convert to fraction form
    304.28/458.20 = 223.68/x
  3. Step 3: Cross multiply
    304.28x = 458.20 × 223.68
  4. Step 4: Simplify right side
    304.28x = 102,490.18
  5. Step 5: Solve for x
    x = 102,490.18/304.28
  6. Step 6: Final answer
    x = 336.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.