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Finding the Fourth Proportional to 316.44, 475.08 and 179.73

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Solution

The fourth proportional to 316.44, 475.08 and 179.73 is: 269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.44 : 475.08 = 179.73 : x
  2. Step 2: Convert to fraction form
    316.44/475.08 = 179.73/x
  3. Step 3: Cross multiply
    316.44x = 475.08 × 179.73
  4. Step 4: Simplify right side
    316.44x = 85,386.13
  5. Step 5: Solve for x
    x = 85,386.13/316.44
  6. Step 6: Final answer
    x = 269.83

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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.