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Finding the Fourth Proportional to 441.45, 661.37 and 319.41

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Solution

The fourth proportional to 441.45, 661.37 and 319.41 is: 478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.45 : 661.37 = 319.41 : x
  2. Step 2: Convert to fraction form
    441.45/661.37 = 319.41/x
  3. Step 3: Cross multiply
    441.45x = 661.37 × 319.41
  4. Step 4: Simplify right side
    441.45x = 211,246.59
  5. Step 5: Solve for x
    x = 211,246.59/441.45
  6. Step 6: Final answer
    x = 478.53

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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.