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Finding the Fourth Proportional to 323.76, 487.43 and 269.40

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Solution

The fourth proportional to 323.76, 487.43 and 269.40 is: 405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.76 : 487.43 = 269.40 : x
  2. Step 2: Convert to fraction form
    323.76/487.43 = 269.40/x
  3. Step 3: Cross multiply
    323.76x = 487.43 × 269.40
  4. Step 4: Simplify right side
    323.76x = 131,313.64
  5. Step 5: Solve for x
    x = 131,313.64/323.76
  6. Step 6: Final answer
    x = 405.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.