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Finding the Fourth Proportional to 324.45, 447.66 and 310.28

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Solution

The fourth proportional to 324.45, 447.66 and 310.28 is: 428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.45 : 447.66 = 310.28 : x
  2. Step 2: Convert to fraction form
    324.45/447.66 = 310.28/x
  3. Step 3: Cross multiply
    324.45x = 447.66 × 310.28
  4. Step 4: Simplify right side
    324.45x = 138,897.71
  5. Step 5: Solve for x
    x = 138,897.71/324.45
  6. Step 6: Final answer
    x = 428.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.