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Finding the Fourth Proportional to 330.44, 494.70 and 201.32

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Solution

The fourth proportional to 330.44, 494.70 and 201.32 is: 301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.44 : 494.70 = 201.32 : x
  2. Step 2: Convert to fraction form
    330.44/494.70 = 201.32/x
  3. Step 3: Cross multiply
    330.44x = 494.70 × 201.32
  4. Step 4: Simplify right side
    330.44x = 99,593.00
  5. Step 5: Solve for x
    x = 99,593.00/330.44
  6. Step 6: Final answer
    x = 301.40

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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.