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Finding the Fourth Proportional to 412.56, 616.28 and 331.56

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Solution

The fourth proportional to 412.56, 616.28 and 331.56 is: 495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.56 : 616.28 = 331.56 : x
  2. Step 2: Convert to fraction form
    412.56/616.28 = 331.56/x
  3. Step 3: Cross multiply
    412.56x = 616.28 × 331.56
  4. Step 4: Simplify right side
    412.56x = 204,332.14
  5. Step 5: Solve for x
    x = 204,332.14/412.56
  6. Step 6: Final answer
    x = 495.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.