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Finding the Fourth Proportional to 631.68, 947.46 and 198.76

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Solution

The fourth proportional to 631.68, 947.46 and 198.76 is: 298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.68 : 947.46 = 198.76 : x
  2. Step 2: Convert to fraction form
    631.68/947.46 = 198.76/x
  3. Step 3: Cross multiply
    631.68x = 947.46 × 198.76
  4. Step 4: Simplify right side
    631.68x = 188,317.15
  5. Step 5: Solve for x
    x = 188,317.15/631.68
  6. Step 6: Final answer
    x = 298.12

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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.