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Finding the Fourth Proportional to 324.60, 486.60 and 170.43

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Solution

The fourth proportional to 324.60, 486.60 and 170.43 is: 255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.60 : 486.60 = 170.43 : x
  2. Step 2: Convert to fraction form
    324.60/486.60 = 170.43/x
  3. Step 3: Cross multiply
    324.60x = 486.60 × 170.43
  4. Step 4: Simplify right side
    324.60x = 82,931.24
  5. Step 5: Solve for x
    x = 82,931.24/324.60
  6. Step 6: Final answer
    x = 255.49

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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.