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Finding the Fourth Proportional to 323.75, 483.42 and 266.09

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Solution

The fourth proportional to 323.75, 483.42 and 266.09 is: 397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.75 : 483.42 = 266.09 : x
  2. Step 2: Convert to fraction form
    323.75/483.42 = 266.09/x
  3. Step 3: Cross multiply
    323.75x = 483.42 × 266.09
  4. Step 4: Simplify right side
    323.75x = 128,630.31
  5. Step 5: Solve for x
    x = 128,630.31/323.75
  6. Step 6: Final answer
    x = 397.32

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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.