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Finding the Fourth Proportional to 202.20, 278.19 and 181.50

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Solution

The fourth proportional to 202.20, 278.19 and 181.50 is: 249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.20 : 278.19 = 181.50 : x
  2. Step 2: Convert to fraction form
    202.20/278.19 = 181.50/x
  3. Step 3: Cross multiply
    202.20x = 278.19 × 181.50
  4. Step 4: Simplify right side
    202.20x = 50,491.49
  5. Step 5: Solve for x
    x = 50,491.49/202.20
  6. Step 6: Final answer
    x = 249.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.