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Finding the Fourth Proportional to 631.45, 946.90 and 198.37

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Solution

The fourth proportional to 631.45, 946.90 and 198.37 is: 297.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.45 : 946.90 = 198.37 : x
  2. Step 2: Convert to fraction form
    631.45/946.90 = 198.37/x
  3. Step 3: Cross multiply
    631.45x = 946.90 × 198.37
  4. Step 4: Simplify right side
    631.45x = 187,836.55
  5. Step 5: Solve for x
    x = 187,836.55/631.45
  6. Step 6: Final answer
    x = 297.47

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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.