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Finding the Fourth Proportional to 472.25, 708.44 and 198.41

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Solution

The fourth proportional to 472.25, 708.44 and 198.41 is: 297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.25 : 708.44 = 198.41 : x
  2. Step 2: Convert to fraction form
    472.25/708.44 = 198.41/x
  3. Step 3: Cross multiply
    472.25x = 708.44 × 198.41
  4. Step 4: Simplify right side
    472.25x = 140,557.05
  5. Step 5: Solve for x
    x = 140,557.05/472.25
  6. Step 6: Final answer
    x = 297.64

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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.