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Finding the Fourth Proportional to 324.96, 487.44 and 209.52

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Solution

The fourth proportional to 324.96, 487.44 and 209.52 is: 314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.96 : 487.44 = 209.52 : x
  2. Step 2: Convert to fraction form
    324.96/487.44 = 209.52/x
  3. Step 3: Cross multiply
    324.96x = 487.44 × 209.52
  4. Step 4: Simplify right side
    324.96x = 102,128.43
  5. Step 5: Solve for x
    x = 102,128.43/324.96
  6. Step 6: Final answer
    x = 314.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.