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Finding the Fourth Proportional to 339.20, 507.76 and 330.92

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Solution

The fourth proportional to 339.20, 507.76 and 330.92 is: 495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.20 : 507.76 = 330.92 : x
  2. Step 2: Convert to fraction form
    339.20/507.76 = 330.92/x
  3. Step 3: Cross multiply
    339.20x = 507.76 × 330.92
  4. Step 4: Simplify right side
    339.20x = 168,027.94
  5. Step 5: Solve for x
    x = 168,027.94/339.20
  6. Step 6: Final answer
    x = 495.37

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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.