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Finding the Fourth Proportional to 325.44, 490.08 and 234.77

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Solution

The fourth proportional to 325.44, 490.08 and 234.77 is: 353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.44 : 490.08 = 234.77 : x
  2. Step 2: Convert to fraction form
    325.44/490.08 = 234.77/x
  3. Step 3: Cross multiply
    325.44x = 490.08 × 234.77
  4. Step 4: Simplify right side
    325.44x = 115,056.08
  5. Step 5: Solve for x
    x = 115,056.08/325.44
  6. Step 6: Final answer
    x = 353.54

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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.