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Finding the Fourth Proportional to 330.75, 494.78 and 279.50

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Solution

The fourth proportional to 330.75, 494.78 and 279.50 is: 418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.75 : 494.78 = 279.50 : x
  2. Step 2: Convert to fraction form
    330.75/494.78 = 279.50/x
  3. Step 3: Cross multiply
    330.75x = 494.78 × 279.50
  4. Step 4: Simplify right side
    330.75x = 138,287.14
  5. Step 5: Solve for x
    x = 138,287.14/330.75
  6. Step 6: Final answer
    x = 418.10

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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.