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Finding the Fourth Proportional to 408, 609.48 and 335.52

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Solution

The fourth proportional to 408, 609.48 and 335.52 is: 501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 609.48 = 335.52 : x
  2. Step 2: Convert to fraction form
    408/609.48 = 335.52/x
  3. Step 3: Cross multiply
    408x = 609.48 × 335.52
  4. Step 4: Simplify right side
    408x = 204,492.73
  5. Step 5: Solve for x
    x = 204,492.73/408
  6. Step 6: Final answer
    x = 501.21

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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.