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Finding the Fourth Proportional to 323.88, 484.86 and 293.46

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Solution

The fourth proportional to 323.88, 484.86 and 293.46 is: 439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.88 : 484.86 = 293.46 : x
  2. Step 2: Convert to fraction form
    323.88/484.86 = 293.46/x
  3. Step 3: Cross multiply
    323.88x = 484.86 × 293.46
  4. Step 4: Simplify right side
    323.88x = 142,287.02
  5. Step 5: Solve for x
    x = 142,287.02/323.88
  6. Step 6: Final answer
    x = 439.32

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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.