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Finding the Fourth Proportional to 198.80, 296.73 and 174.50

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Solution

The fourth proportional to 198.80, 296.73 and 174.50 is: 260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.80 : 296.73 = 174.50 : x
  2. Step 2: Convert to fraction form
    198.80/296.73 = 174.50/x
  3. Step 3: Cross multiply
    198.80x = 296.73 × 174.50
  4. Step 4: Simplify right side
    198.80x = 51,779.39
  5. Step 5: Solve for x
    x = 51,779.39/198.80
  6. Step 6: Final answer
    x = 260.46

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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.