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Finding the Fourth Proportional to 198.98, 296.50 and 177.44

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Solution

The fourth proportional to 198.98, 296.50 and 177.44 is: 264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.98 : 296.50 = 177.44 : x
  2. Step 2: Convert to fraction form
    198.98/296.50 = 177.44/x
  3. Step 3: Cross multiply
    198.98x = 296.50 × 177.44
  4. Step 4: Simplify right side
    198.98x = 52,610.96
  5. Step 5: Solve for x
    x = 52,610.96/198.98
  6. Step 6: Final answer
    x = 264.40

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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.