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Finding the Fourth Proportional to 331.13, 496.78 and 100.02

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Solution

The fourth proportional to 331.13, 496.78 and 100.02 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.13 : 496.78 = 100.02 : x
  2. Step 2: Convert to fraction form
    331.13/496.78 = 100.02/x
  3. Step 3: Cross multiply
    331.13x = 496.78 × 100.02
  4. Step 4: Simplify right side
    331.13x = 49,687.94
  5. Step 5: Solve for x
    x = 49,687.94/331.13
  6. Step 6: Final answer
    x = 150.06

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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.