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Finding the Fourth Proportional to 323.97, 487.71 and 295.26

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Solution

The fourth proportional to 323.97, 487.71 and 295.26 is: 444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.97 : 487.71 = 295.26 : x
  2. Step 2: Convert to fraction form
    323.97/487.71 = 295.26/x
  3. Step 3: Cross multiply
    323.97x = 487.71 × 295.26
  4. Step 4: Simplify right side
    323.97x = 144,002.78
  5. Step 5: Solve for x
    x = 144,002.78/323.97
  6. Step 6: Final answer
    x = 444.50

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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.