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Finding the Fourth Proportional to 324.53, 487.73 and 270.02

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Solution

The fourth proportional to 324.53, 487.73 and 270.02 is: 405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.53 : 487.73 = 270.02 : x
  2. Step 2: Convert to fraction form
    324.53/487.73 = 270.02/x
  3. Step 3: Cross multiply
    324.53x = 487.73 × 270.02
  4. Step 4: Simplify right side
    324.53x = 131,698.75
  5. Step 5: Solve for x
    x = 131,698.75/324.53
  6. Step 6: Final answer
    x = 405.81

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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.