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Finding the Fourth Proportional to 441.91, 663.03 and 213.75

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Solution

The fourth proportional to 441.91, 663.03 and 213.75 is: 320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.91 : 663.03 = 213.75 : x
  2. Step 2: Convert to fraction form
    441.91/663.03 = 213.75/x
  3. Step 3: Cross multiply
    441.91x = 663.03 × 213.75
  4. Step 4: Simplify right side
    441.91x = 141,721.59
  5. Step 5: Solve for x
    x = 141,721.59/441.91
  6. Step 6: Final answer
    x = 320.70

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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.