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Finding the Fourth Proportional to 330.94, 495.75 and 252.92

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Solution

The fourth proportional to 330.94, 495.75 and 252.92 is: 378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.94 : 495.75 = 252.92 : x
  2. Step 2: Convert to fraction form
    330.94/495.75 = 252.92/x
  3. Step 3: Cross multiply
    330.94x = 495.75 × 252.92
  4. Step 4: Simplify right side
    330.94x = 125,386.33
  5. Step 5: Solve for x
    x = 125,386.33/330.94
  6. Step 6: Final answer
    x = 378.88

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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.