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Finding the Fourth Proportional to 333.12, 496.77 and 320.97

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Solution

The fourth proportional to 333.12, 496.77 and 320.97 is: 478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.12 : 496.77 = 320.97 : x
  2. Step 2: Convert to fraction form
    333.12/496.77 = 320.97/x
  3. Step 3: Cross multiply
    333.12x = 496.77 × 320.97
  4. Step 4: Simplify right side
    333.12x = 159,448.27
  5. Step 5: Solve for x
    x = 159,448.27/333.12
  6. Step 6: Final answer
    x = 478.65

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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.