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Finding the Fourth Proportional to 412.64, 619.28 and 331.20

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Solution

The fourth proportional to 412.64, 619.28 and 331.20 is: 497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.64 : 619.28 = 331.20 : x
  2. Step 2: Convert to fraction form
    412.64/619.28 = 331.20/x
  3. Step 3: Cross multiply
    412.64x = 619.28 × 331.20
  4. Step 4: Simplify right side
    412.64x = 205,105.54
  5. Step 5: Solve for x
    x = 205,105.54/412.64
  6. Step 6: Final answer
    x = 497.06

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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.