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Finding the Fourth Proportional to 330.80, 496.12 and 138.24

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Solution

The fourth proportional to 330.80, 496.12 and 138.24 is: 207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.80 : 496.12 = 138.24 : x
  2. Step 2: Convert to fraction form
    330.80/496.12 = 138.24/x
  3. Step 3: Cross multiply
    330.80x = 496.12 × 138.24
  4. Step 4: Simplify right side
    330.80x = 68,583.63
  5. Step 5: Solve for x
    x = 68,583.63/330.80
  6. Step 6: Final answer
    x = 207.33

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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.