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Finding the Fourth Proportional to 472.77, 709.25 and 198.70

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Solution

The fourth proportional to 472.77, 709.25 and 198.70 is: 298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.77 : 709.25 = 198.70 : x
  2. Step 2: Convert to fraction form
    472.77/709.25 = 198.70/x
  3. Step 3: Cross multiply
    472.77x = 709.25 × 198.70
  4. Step 4: Simplify right side
    472.77x = 140,929.54
  5. Step 5: Solve for x
    x = 140,929.54/472.77
  6. Step 6: Final answer
    x = 298.09

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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.