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Finding the Fourth Proportional to 483.20, 723.20 and 339.20

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Solution

The fourth proportional to 483.20, 723.20 and 339.20 is: 507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.20 : 723.20 = 339.20 : x
  2. Step 2: Convert to fraction form
    483.20/723.20 = 339.20/x
  3. Step 3: Cross multiply
    483.20x = 723.20 × 339.20
  4. Step 4: Simplify right side
    483.20x = 245,309.44
  5. Step 5: Solve for x
    x = 245,309.44/483.20
  6. Step 6: Final answer
    x = 507.68

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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.