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Finding the Fourth Proportional to 323.22, 444.51 and 257.61

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Solution

The fourth proportional to 323.22, 444.51 and 257.61 is: 354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.22 : 444.51 = 257.61 : x
  2. Step 2: Convert to fraction form
    323.22/444.51 = 257.61/x
  3. Step 3: Cross multiply
    323.22x = 444.51 × 257.61
  4. Step 4: Simplify right side
    323.22x = 114,510.22
  5. Step 5: Solve for x
    x = 114,510.22/323.22
  6. Step 6: Final answer
    x = 354.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.