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Finding the Fourth Proportional to 331.25, 496.95 and 100.16

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Solution

The fourth proportional to 331.25, 496.95 and 100.16 is: 150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.25 : 496.95 = 100.16 : x
  2. Step 2: Convert to fraction form
    331.25/496.95 = 100.16/x
  3. Step 3: Cross multiply
    331.25x = 496.95 × 100.16
  4. Step 4: Simplify right side
    331.25x = 49,772.03
  5. Step 5: Solve for x
    x = 49,772.03/331.25
  6. Step 6: Final answer
    x = 150.25

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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.