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Finding the Fourth Proportional to 202.60, 301.61 and 201.40

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Solution

The fourth proportional to 202.60, 301.61 and 201.40 is: 299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.60 : 301.61 = 201.40 : x
  2. Step 2: Convert to fraction form
    202.60/301.61 = 201.40/x
  3. Step 3: Cross multiply
    202.60x = 301.61 × 201.40
  4. Step 4: Simplify right side
    202.60x = 60,744.25
  5. Step 5: Solve for x
    x = 60,744.25/202.60
  6. Step 6: Final answer
    x = 299.82

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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.