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Finding the Fourth Proportional to 330.59, 494.57 and 285.44

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Solution

The fourth proportional to 330.59, 494.57 and 285.44 is: 427.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.59 : 494.57 = 285.44 : x
  2. Step 2: Convert to fraction form
    330.59/494.57 = 285.44/x
  3. Step 3: Cross multiply
    330.59x = 494.57 × 285.44
  4. Step 4: Simplify right side
    330.59x = 141,168.30
  5. Step 5: Solve for x
    x = 141,168.30/330.59
  6. Step 6: Final answer
    x = 427.02

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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.