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Finding the Fourth Proportional to 325.31, 490.43 and 304.43

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Solution

The fourth proportional to 325.31, 490.43 and 304.43 is: 458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.31 : 490.43 = 304.43 : x
  2. Step 2: Convert to fraction form
    325.31/490.43 = 304.43/x
  3. Step 3: Cross multiply
    325.31x = 490.43 × 304.43
  4. Step 4: Simplify right side
    325.31x = 149,301.60
  5. Step 5: Solve for x
    x = 149,301.60/325.31
  6. Step 6: Final answer
    x = 458.95

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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.