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Finding the Fourth Proportional to 201.60, 300.12 and 200.40

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Solution

The fourth proportional to 201.60, 300.12 and 200.40 is: 298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.60 : 300.12 = 200.40 : x
  2. Step 2: Convert to fraction form
    201.60/300.12 = 200.40/x
  3. Step 3: Cross multiply
    201.60x = 300.12 × 200.40
  4. Step 4: Simplify right side
    201.60x = 60,144.05
  5. Step 5: Solve for x
    x = 60,144.05/201.60
  6. Step 6: Final answer
    x = 298.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.