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Finding the Fourth Proportional to 199.22, 297.27 and 178.79

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Solution

The fourth proportional to 199.22, 297.27 and 178.79 is: 266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.22 : 297.27 = 178.79 : x
  2. Step 2: Convert to fraction form
    199.22/297.27 = 178.79/x
  3. Step 3: Cross multiply
    199.22x = 297.27 × 178.79
  4. Step 4: Simplify right side
    199.22x = 53,147.42
  5. Step 5: Solve for x
    x = 53,147.42/199.22
  6. Step 6: Final answer
    x = 266.78

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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.