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Finding the Fourth Proportional to 333.44, 456.82 and 320.48

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Solution

The fourth proportional to 333.44, 456.82 and 320.48 is: 439.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.44 : 456.82 = 320.48 : x
  2. Step 2: Convert to fraction form
    333.44/456.82 = 320.48/x
  3. Step 3: Cross multiply
    333.44x = 456.82 × 320.48
  4. Step 4: Simplify right side
    333.44x = 146,401.67
  5. Step 5: Solve for x
    x = 146,401.67/333.44
  6. Step 6: Final answer
    x = 439.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.