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Finding the Fourth Proportional to 631.03, 946.41 and 198.09

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Solution

The fourth proportional to 631.03, 946.41 and 198.09 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.03 : 946.41 = 198.09 : x
  2. Step 2: Convert to fraction form
    631.03/946.41 = 198.09/x
  3. Step 3: Cross multiply
    631.03x = 946.41 × 198.09
  4. Step 4: Simplify right side
    631.03x = 187,474.36
  5. Step 5: Solve for x
    x = 187,474.36/631.03
  6. Step 6: Final answer
    x = 297.09

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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.