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Finding the Fourth Proportional to 330.97, 496.28 and 111.52

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Solution

The fourth proportional to 330.97, 496.28 and 111.52 is: 167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.97 : 496.28 = 111.52 : x
  2. Step 2: Convert to fraction form
    330.97/496.28 = 111.52/x
  3. Step 3: Cross multiply
    330.97x = 496.28 × 111.52
  4. Step 4: Simplify right side
    330.97x = 55,342.66
  5. Step 5: Solve for x
    x = 55,342.66/330.97
  6. Step 6: Final answer
    x = 167.22

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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.