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Finding the Fourth Proportional to 198.72, 298.56 and 177.60

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Solution

The fourth proportional to 198.72, 298.56 and 177.60 is: 266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 298.56 = 177.60 : x
  2. Step 2: Convert to fraction form
    198.72/298.56 = 177.60/x
  3. Step 3: Cross multiply
    198.72x = 298.56 × 177.60
  4. Step 4: Simplify right side
    198.72x = 53,024.26
  5. Step 5: Solve for x
    x = 53,024.26/198.72
  6. Step 6: Final answer
    x = 266.83

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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.