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Finding the Fourth Proportional to 331.08, 494.27 and 294.63

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Solution

The fourth proportional to 331.08, 494.27 and 294.63 is: 439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.08 : 494.27 = 294.63 : x
  2. Step 2: Convert to fraction form
    331.08/494.27 = 294.63/x
  3. Step 3: Cross multiply
    331.08x = 494.27 × 294.63
  4. Step 4: Simplify right side
    331.08x = 145,625.30
  5. Step 5: Solve for x
    x = 145,625.30/331.08
  6. Step 6: Final answer
    x = 439.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.