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Finding the Fourth Proportional to 324.39, 444.98 and 316.29

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Solution

The fourth proportional to 324.39, 444.98 and 316.29 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.39 : 444.98 = 316.29 : x
  2. Step 2: Convert to fraction form
    324.39/444.98 = 316.29/x
  3. Step 3: Cross multiply
    324.39x = 444.98 × 316.29
  4. Step 4: Simplify right side
    324.39x = 140,742.72
  5. Step 5: Solve for x
    x = 140,742.72/324.39
  6. Step 6: Final answer
    x = 433.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.