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Finding the Fourth Proportional to 325.73, 488.90 and 269.24

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Solution

The fourth proportional to 325.73, 488.90 and 269.24 is: 404.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.73 : 488.90 = 269.24 : x
  2. Step 2: Convert to fraction form
    325.73/488.90 = 269.24/x
  3. Step 3: Cross multiply
    325.73x = 488.90 × 269.24
  4. Step 4: Simplify right side
    325.73x = 131,629.66
  5. Step 5: Solve for x
    x = 131,629.66/325.73
  6. Step 6: Final answer
    x = 404.10

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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.