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Finding the Fourth Proportional to 321.74, 479.29 and 301.82

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Solution

The fourth proportional to 321.74, 479.29 and 301.82 is: 449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.74 : 479.29 = 301.82 : x
  2. Step 2: Convert to fraction form
    321.74/479.29 = 301.82/x
  3. Step 3: Cross multiply
    321.74x = 479.29 × 301.82
  4. Step 4: Simplify right side
    321.74x = 144,659.31
  5. Step 5: Solve for x
    x = 144,659.31/321.74
  6. Step 6: Final answer
    x = 449.62

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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.