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Finding the Fourth Proportional to 441.27, 661.37 and 319.95

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Solution

The fourth proportional to 441.27, 661.37 and 319.95 is: 479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.27 : 661.37 = 319.95 : x
  2. Step 2: Convert to fraction form
    441.27/661.37 = 319.95/x
  3. Step 3: Cross multiply
    441.27x = 661.37 × 319.95
  4. Step 4: Simplify right side
    441.27x = 211,603.73
  5. Step 5: Solve for x
    x = 211,603.73/441.27
  6. Step 6: Final answer
    x = 479.53

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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.