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Finding the Fourth Proportional to 325.57, 488.45 and 274.33

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Solution

The fourth proportional to 325.57, 488.45 and 274.33 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.57 : 488.45 = 274.33 : x
  2. Step 2: Convert to fraction form
    325.57/488.45 = 274.33/x
  3. Step 3: Cross multiply
    325.57x = 488.45 × 274.33
  4. Step 4: Simplify right side
    325.57x = 133,996.49
  5. Step 5: Solve for x
    x = 133,996.49/325.57
  6. Step 6: Final answer
    x = 411.58

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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.