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Finding the Fourth Proportional to 631.59, 947.42 and 198.75

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Solution

The fourth proportional to 631.59, 947.42 and 198.75 is: 298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.59 : 947.42 = 198.75 : x
  2. Step 2: Convert to fraction form
    631.59/947.42 = 198.75/x
  3. Step 3: Cross multiply
    631.59x = 947.42 × 198.75
  4. Step 4: Simplify right side
    631.59x = 188,299.73
  5. Step 5: Solve for x
    x = 188,299.73/631.59
  6. Step 6: Final answer
    x = 298.14

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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.