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Finding the Fourth Proportional to 199.85, 299.76 and 55.56

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Solution

The fourth proportional to 199.85, 299.76 and 55.56 is: 83.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.85 : 299.76 = 55.56 : x
  2. Step 2: Convert to fraction form
    199.85/299.76 = 55.56/x
  3. Step 3: Cross multiply
    199.85x = 299.76 × 55.56
  4. Step 4: Simplify right side
    199.85x = 16,654.67
  5. Step 5: Solve for x
    x = 16,654.67/199.85
  6. Step 6: Final answer
    x = 83.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.