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Finding the Fourth Proportional to 472.73, 708.49 and 198.75

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Solution

The fourth proportional to 472.73, 708.49 and 198.75 is: 297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.73 : 708.49 = 198.75 : x
  2. Step 2: Convert to fraction form
    472.73/708.49 = 198.75/x
  3. Step 3: Cross multiply
    472.73x = 708.49 × 198.75
  4. Step 4: Simplify right side
    472.73x = 140,811.39
  5. Step 5: Solve for x
    x = 140,811.39/472.73
  6. Step 6: Final answer
    x = 297.87

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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.