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Finding the Fourth Proportional to 323.20, 487.12 and 305.60

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Solution

The fourth proportional to 323.20, 487.12 and 305.60 is: 460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.20 : 487.12 = 305.60 : x
  2. Step 2: Convert to fraction form
    323.20/487.12 = 305.60/x
  3. Step 3: Cross multiply
    323.20x = 487.12 × 305.60
  4. Step 4: Simplify right side
    323.20x = 148,862.34
  5. Step 5: Solve for x
    x = 148,862.34/323.20
  6. Step 6: Final answer
    x = 460.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.