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Finding the Fourth Proportional to 325.92, 490.02 and 172.16

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Solution

The fourth proportional to 325.92, 490.02 and 172.16 is: 258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.92 : 490.02 = 172.16 : x
  2. Step 2: Convert to fraction form
    325.92/490.02 = 172.16/x
  3. Step 3: Cross multiply
    325.92x = 490.02 × 172.16
  4. Step 4: Simplify right side
    325.92x = 84,359.39
  5. Step 5: Solve for x
    x = 84,359.39/325.92
  6. Step 6: Final answer
    x = 258.83

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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.