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Finding the Fourth Proportional to 439.21, 657.60 and 330.67

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Solution

The fourth proportional to 439.21, 657.60 and 330.67 is: 495.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.21 : 657.60 = 330.67 : x
  2. Step 2: Convert to fraction form
    439.21/657.60 = 330.67/x
  3. Step 3: Cross multiply
    439.21x = 657.60 × 330.67
  4. Step 4: Simplify right side
    439.21x = 217,448.59
  5. Step 5: Solve for x
    x = 217,448.59/439.21
  6. Step 6: Final answer
    x = 495.09

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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.