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Finding the Fourth Proportional to 202.08, 276.66 and 194.78

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Solution

The fourth proportional to 202.08, 276.66 and 194.78 is: 266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.08 : 276.66 = 194.78 : x
  2. Step 2: Convert to fraction form
    202.08/276.66 = 194.78/x
  3. Step 3: Cross multiply
    202.08x = 276.66 × 194.78
  4. Step 4: Simplify right side
    202.08x = 53,887.83
  5. Step 5: Solve for x
    x = 53,887.83/202.08
  6. Step 6: Final answer
    x = 266.67

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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.