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Finding the Fourth Proportional to 317.70, 474.12 and 273.96

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Solution

The fourth proportional to 317.70, 474.12 and 273.96 is: 408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.70 : 474.12 = 273.96 : x
  2. Step 2: Convert to fraction form
    317.70/474.12 = 273.96/x
  3. Step 3: Cross multiply
    317.70x = 474.12 × 273.96
  4. Step 4: Simplify right side
    317.70x = 129,889.92
  5. Step 5: Solve for x
    x = 129,889.92/317.70
  6. Step 6: Final answer
    x = 408.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.