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Finding the Fourth Proportional to 200.10, 301.30 and 149.10

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Solution

The fourth proportional to 200.10, 301.30 and 149.10 is: 224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.10 : 301.30 = 149.10 : x
  2. Step 2: Convert to fraction form
    200.10/301.30 = 149.10/x
  3. Step 3: Cross multiply
    200.10x = 301.30 × 149.10
  4. Step 4: Simplify right side
    200.10x = 44,923.83
  5. Step 5: Solve for x
    x = 44,923.83/200.10
  6. Step 6: Final answer
    x = 224.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.