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Finding the Fourth Proportional to 333.36, 496.43 and 331.74

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Solution

The fourth proportional to 333.36, 496.43 and 331.74 is: 494.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.36 : 496.43 = 331.74 : x
  2. Step 2: Convert to fraction form
    333.36/496.43 = 331.74/x
  3. Step 3: Cross multiply
    333.36x = 496.43 × 331.74
  4. Step 4: Simplify right side
    333.36x = 164,685.69
  5. Step 5: Solve for x
    x = 164,685.69/333.36
  6. Step 6: Final answer
    x = 494.02

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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.