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Finding the Fourth Proportional to 631.41, 947.22 and 198.47

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Solution

The fourth proportional to 631.41, 947.22 and 198.47 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.41 : 947.22 = 198.47 : x
  2. Step 2: Convert to fraction form
    631.41/947.22 = 198.47/x
  3. Step 3: Cross multiply
    631.41x = 947.22 × 198.47
  4. Step 4: Simplify right side
    631.41x = 187,990.02
  5. Step 5: Solve for x
    x = 187,990.02/631.41
  6. Step 6: Final answer
    x = 297.73

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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.