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Finding the Fourth Proportional to 324.09, 449.06 and 317.18

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Solution

The fourth proportional to 324.09, 449.06 and 317.18 is: 439.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.09 : 449.06 = 317.18 : x
  2. Step 2: Convert to fraction form
    324.09/449.06 = 317.18/x
  3. Step 3: Cross multiply
    324.09x = 449.06 × 317.18
  4. Step 4: Simplify right side
    324.09x = 142,429.02
  5. Step 5: Solve for x
    x = 142,429.02/324.09
  6. Step 6: Final answer
    x = 439.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.