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Finding the Fourth Proportional to 201.98, 303.24 and 129.90

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Solution

The fourth proportional to 201.98, 303.24 and 129.90 is: 195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.98 : 303.24 = 129.90 : x
  2. Step 2: Convert to fraction form
    201.98/303.24 = 129.90/x
  3. Step 3: Cross multiply
    201.98x = 303.24 × 129.90
  4. Step 4: Simplify right side
    201.98x = 39,390.88
  5. Step 5: Solve for x
    x = 39,390.88/201.98
  6. Step 6: Final answer
    x = 195.02

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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.