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Finding the Fourth Proportional to 321.87, 479.33 and 301.11

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Solution

The fourth proportional to 321.87, 479.33 and 301.11 is: 448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.87 : 479.33 = 301.11 : x
  2. Step 2: Convert to fraction form
    321.87/479.33 = 301.11/x
  3. Step 3: Cross multiply
    321.87x = 479.33 × 301.11
  4. Step 4: Simplify right side
    321.87x = 144,331.06
  5. Step 5: Solve for x
    x = 144,331.06/321.87
  6. Step 6: Final answer
    x = 448.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.