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Finding the Fourth Proportional to 324.28, 487.14 and 270.28

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Solution

The fourth proportional to 324.28, 487.14 and 270.28 is: 406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.28 : 487.14 = 270.28 : x
  2. Step 2: Convert to fraction form
    324.28/487.14 = 270.28/x
  3. Step 3: Cross multiply
    324.28x = 487.14 × 270.28
  4. Step 4: Simplify right side
    324.28x = 131,664.20
  5. Step 5: Solve for x
    x = 131,664.20/324.28
  6. Step 6: Final answer
    x = 406.02

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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.