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Finding the Fourth Proportional to 330.76, 495.84 and 138.28

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Solution

The fourth proportional to 330.76, 495.84 and 138.28 is: 207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.76 : 495.84 = 138.28 : x
  2. Step 2: Convert to fraction form
    330.76/495.84 = 138.28/x
  3. Step 3: Cross multiply
    330.76x = 495.84 × 138.28
  4. Step 4: Simplify right side
    330.76x = 68,564.76
  5. Step 5: Solve for x
    x = 68,564.76/330.76
  6. Step 6: Final answer
    x = 207.29

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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.