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Finding the Fourth Proportional to 319.68, 479.41 and 103.21

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Solution

The fourth proportional to 319.68, 479.41 and 103.21 is: 154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.68 : 479.41 = 103.21 : x
  2. Step 2: Convert to fraction form
    319.68/479.41 = 103.21/x
  3. Step 3: Cross multiply
    319.68x = 479.41 × 103.21
  4. Step 4: Simplify right side
    319.68x = 49,479.91
  5. Step 5: Solve for x
    x = 49,479.91/319.68
  6. Step 6: Final answer
    x = 154.78

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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.