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Finding the Fourth Proportional to 446.04, 667.31 and 330.75

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Solution

The fourth proportional to 446.04, 667.31 and 330.75 is: 494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.04 : 667.31 = 330.75 : x
  2. Step 2: Convert to fraction form
    446.04/667.31 = 330.75/x
  3. Step 3: Cross multiply
    446.04x = 667.31 × 330.75
  4. Step 4: Simplify right side
    446.04x = 220,711.13
  5. Step 5: Solve for x
    x = 220,711.13/446.04
  6. Step 6: Final answer
    x = 494.82

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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.