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Finding the Fourth Proportional to 323.01, 483.49 and 265.09

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Solution

The fourth proportional to 323.01, 483.49 and 265.09 is: 396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.01 : 483.49 = 265.09 : x
  2. Step 2: Convert to fraction form
    323.01/483.49 = 265.09/x
  3. Step 3: Cross multiply
    323.01x = 483.49 × 265.09
  4. Step 4: Simplify right side
    323.01x = 128,168.36
  5. Step 5: Solve for x
    x = 128,168.36/323.01
  6. Step 6: Final answer
    x = 396.79

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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.