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Finding the Fourth Proportional to 631.92, 947.74 and 241.84

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Solution

The fourth proportional to 631.92, 947.74 and 241.84 is: 362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.92 : 947.74 = 241.84 : x
  2. Step 2: Convert to fraction form
    631.92/947.74 = 241.84/x
  3. Step 3: Cross multiply
    631.92x = 947.74 × 241.84
  4. Step 4: Simplify right side
    631.92x = 229,201.44
  5. Step 5: Solve for x
    x = 229,201.44/631.92
  6. Step 6: Final answer
    x = 362.71

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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.