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Finding the Fourth Proportional to 330.33, 496.31 and 311.91

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Solution

The fourth proportional to 330.33, 496.31 and 311.91 is: 468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.33 : 496.31 = 311.91 : x
  2. Step 2: Convert to fraction form
    330.33/496.31 = 311.91/x
  3. Step 3: Cross multiply
    330.33x = 496.31 × 311.91
  4. Step 4: Simplify right side
    330.33x = 154,802.49
  5. Step 5: Solve for x
    x = 154,802.49/330.33
  6. Step 6: Final answer
    x = 468.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.