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Finding the Fourth Proportional to 330.12, 494.30 and 243.24

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Solution

The fourth proportional to 330.12, 494.30 and 243.24 is: 364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.12 : 494.30 = 243.24 : x
  2. Step 2: Convert to fraction form
    330.12/494.30 = 243.24/x
  3. Step 3: Cross multiply
    330.12x = 494.30 × 243.24
  4. Step 4: Simplify right side
    330.12x = 120,233.53
  5. Step 5: Solve for x
    x = 120,233.53/330.12
  6. Step 6: Final answer
    x = 364.21

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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.