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Finding the Fourth Proportional to 198.77, 296.72 and 174.47

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Solution

The fourth proportional to 198.77, 296.72 and 174.47 is: 260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.77 : 296.72 = 174.47 : x
  2. Step 2: Convert to fraction form
    198.77/296.72 = 174.47/x
  3. Step 3: Cross multiply
    198.77x = 296.72 × 174.47
  4. Step 4: Simplify right side
    198.77x = 51,766.38
  5. Step 5: Solve for x
    x = 51,766.38/198.77
  6. Step 6: Final answer
    x = 260.44

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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.