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Finding the Fourth Proportional to 149.00, 204.10 and 147.38

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Solution

The fourth proportional to 149.00, 204.10 and 147.38 is: 201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.00 : 204.10 = 147.38 : x
  2. Step 2: Convert to fraction form
    149.00/204.10 = 147.38/x
  3. Step 3: Cross multiply
    149.00x = 204.10 × 147.38
  4. Step 4: Simplify right side
    149.00x = 30,078.87
  5. Step 5: Solve for x
    x = 30,078.87/149.00
  6. Step 6: Final answer
    x = 201.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.