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Finding the Fourth Proportional to 323.76, 483.72 and 320.88

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Solution

The fourth proportional to 323.76, 483.72 and 320.88 is: 479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.76 : 483.72 = 320.88 : x
  2. Step 2: Convert to fraction form
    323.76/483.72 = 320.88/x
  3. Step 3: Cross multiply
    323.76x = 483.72 × 320.88
  4. Step 4: Simplify right side
    323.76x = 155,216.07
  5. Step 5: Solve for x
    x = 155,216.07/323.76
  6. Step 6: Final answer
    x = 479.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.