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Finding the Fourth Proportional to 330.33, 494.63 and 265.03

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Solution

The fourth proportional to 330.33, 494.63 and 265.03 is: 396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.33 : 494.63 = 265.03 : x
  2. Step 2: Convert to fraction form
    330.33/494.63 = 265.03/x
  3. Step 3: Cross multiply
    330.33x = 494.63 × 265.03
  4. Step 4: Simplify right side
    330.33x = 131,091.79
  5. Step 5: Solve for x
    x = 131,091.79/330.33
  6. Step 6: Final answer
    x = 396.85

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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.