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Finding the Fourth Proportional to 330.21, 494.97 and 135.13

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Solution

The fourth proportional to 330.21, 494.97 and 135.13 is: 202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.21 : 494.97 = 135.13 : x
  2. Step 2: Convert to fraction form
    330.21/494.97 = 135.13/x
  3. Step 3: Cross multiply
    330.21x = 494.97 × 135.13
  4. Step 4: Simplify right side
    330.21x = 66,885.30
  5. Step 5: Solve for x
    x = 66,885.30/330.21
  6. Step 6: Final answer
    x = 202.55

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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.