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Finding the Fourth Proportional to 631.38, 947.09 and 169.18

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Solution

The fourth proportional to 631.38, 947.09 and 169.18 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.38 : 947.09 = 169.18 : x
  2. Step 2: Convert to fraction form
    631.38/947.09 = 169.18/x
  3. Step 3: Cross multiply
    631.38x = 947.09 × 169.18
  4. Step 4: Simplify right side
    631.38x = 160,228.69
  5. Step 5: Solve for x
    x = 160,228.69/631.38
  6. Step 6: Final answer
    x = 253.78

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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.