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Finding the Fourth Proportional to 330.28, 494.26 and 285.20

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Solution

The fourth proportional to 330.28, 494.26 and 285.20 is: 426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.28 : 494.26 = 285.20 : x
  2. Step 2: Convert to fraction form
    330.28/494.26 = 285.20/x
  3. Step 3: Cross multiply
    330.28x = 494.26 × 285.20
  4. Step 4: Simplify right side
    330.28x = 140,962.95
  5. Step 5: Solve for x
    x = 140,962.95/330.28
  6. Step 6: Final answer
    x = 426.80

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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.