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Finding the Fourth Proportional to 330.35, 494.36 and 243.48

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Solution

The fourth proportional to 330.35, 494.36 and 243.48 is: 364.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.35 : 494.36 = 243.48 : x
  2. Step 2: Convert to fraction form
    330.35/494.36 = 243.48/x
  3. Step 3: Cross multiply
    330.35x = 494.36 × 243.48
  4. Step 4: Simplify right side
    330.35x = 120,365.56
  5. Step 5: Solve for x
    x = 120,365.56/330.35
  6. Step 6: Final answer
    x = 364.36

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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.