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Finding the Fourth Proportional to 494.47, 682.38 and 320.12

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Solution

The fourth proportional to 494.47, 682.38 and 320.12 is: 441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.47 : 682.38 = 320.12 : x
  2. Step 2: Convert to fraction form
    494.47/682.38 = 320.12/x
  3. Step 3: Cross multiply
    494.47x = 682.38 × 320.12
  4. Step 4: Simplify right side
    494.47x = 218,438.47
  5. Step 5: Solve for x
    x = 218,438.47/494.47
  6. Step 6: Final answer
    x = 441.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.