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Finding the Fourth Proportional to 330.12, 494.70 and 294.12

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Solution

The fourth proportional to 330.12, 494.70 and 294.12 is: 440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.12 : 494.70 = 294.12 : x
  2. Step 2: Convert to fraction form
    330.12/494.70 = 294.12/x
  3. Step 3: Cross multiply
    330.12x = 494.70 × 294.12
  4. Step 4: Simplify right side
    330.12x = 145,501.16
  5. Step 5: Solve for x
    x = 145,501.16/330.12
  6. Step 6: Final answer
    x = 440.75

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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.