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Finding the Fourth Proportional to 472.38, 707.96 and 198.09

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Solution

The fourth proportional to 472.38, 707.96 and 198.09 is: 296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.38 : 707.96 = 198.09 : x
  2. Step 2: Convert to fraction form
    472.38/707.96 = 198.09/x
  3. Step 3: Cross multiply
    472.38x = 707.96 × 198.09
  4. Step 4: Simplify right side
    472.38x = 140,238.81
  5. Step 5: Solve for x
    x = 140,238.81/472.38
  6. Step 6: Final answer
    x = 296.88

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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.