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Finding the Fourth Proportional to 631.71, 947.41 and 198.87

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Solution

The fourth proportional to 631.71, 947.41 and 198.87 is: 298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.71 : 947.41 = 198.87 : x
  2. Step 2: Convert to fraction form
    631.71/947.41 = 198.87/x
  3. Step 3: Cross multiply
    631.71x = 947.41 × 198.87
  4. Step 4: Simplify right side
    631.71x = 188,406.69
  5. Step 5: Solve for x
    x = 188,406.69/631.71
  6. Step 6: Final answer
    x = 298.25

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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.