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Finding the Fourth Proportional to 472.48, 709.12 and 198.78

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Solution

The fourth proportional to 472.48, 709.12 and 198.78 is: 298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 709.12 = 198.78 : x
  2. Step 2: Convert to fraction form
    472.48/709.12 = 198.78/x
  3. Step 3: Cross multiply
    472.48x = 709.12 × 198.78
  4. Step 4: Simplify right side
    472.48x = 140,958.87
  5. Step 5: Solve for x
    x = 140,958.87/472.48
  6. Step 6: Final answer
    x = 298.34

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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.