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Finding the Fourth Proportional to 323.38, 485.14 and 257.74

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Solution

The fourth proportional to 323.38, 485.14 and 257.74 is: 386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.38 : 485.14 = 257.74 : x
  2. Step 2: Convert to fraction form
    323.38/485.14 = 257.74/x
  3. Step 3: Cross multiply
    323.38x = 485.14 × 257.74
  4. Step 4: Simplify right side
    323.38x = 125,036.27
  5. Step 5: Solve for x
    x = 125,036.27/323.38
  6. Step 6: Final answer
    x = 386.66

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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.