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Finding the Fourth Proportional to 199.35, 297.46 and 178.85

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Solution

The fourth proportional to 199.35, 297.46 and 178.85 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.35 : 297.46 = 178.85 : x
  2. Step 2: Convert to fraction form
    199.35/297.46 = 178.85/x
  3. Step 3: Cross multiply
    199.35x = 297.46 × 178.85
  4. Step 4: Simplify right side
    199.35x = 53,200.72
  5. Step 5: Solve for x
    x = 53,200.72/199.35
  6. Step 6: Final answer
    x = 266.87

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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.