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Finding the Fourth Proportional to 323.48, 485.13 and 257.94

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Solution

The fourth proportional to 323.48, 485.13 and 257.94 is: 386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.48 : 485.13 = 257.94 : x
  2. Step 2: Convert to fraction form
    323.48/485.13 = 257.94/x
  3. Step 3: Cross multiply
    323.48x = 485.13 × 257.94
  4. Step 4: Simplify right side
    323.48x = 125,134.43
  5. Step 5: Solve for x
    x = 125,134.43/323.48
  6. Step 6: Final answer
    x = 386.84

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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.