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Finding the Fourth Proportional to 202.00, 276.74 and 194.71

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Solution

The fourth proportional to 202.00, 276.74 and 194.71 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.00 : 276.74 = 194.71 : x
  2. Step 2: Convert to fraction form
    202.00/276.74 = 194.71/x
  3. Step 3: Cross multiply
    202.00x = 276.74 × 194.71
  4. Step 4: Simplify right side
    202.00x = 53,882.38
  5. Step 5: Solve for x
    x = 53,882.38/202.00
  6. Step 6: Final answer
    x = 266.75

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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.