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Finding the Fourth Proportional to 317.73, 475.21 and 255.76

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Solution

The fourth proportional to 317.73, 475.21 and 255.76 is: 382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.73 : 475.21 = 255.76 : x
  2. Step 2: Convert to fraction form
    317.73/475.21 = 255.76/x
  3. Step 3: Cross multiply
    317.73x = 475.21 × 255.76
  4. Step 4: Simplify right side
    317.73x = 121,539.71
  5. Step 5: Solve for x
    x = 121,539.71/317.73
  6. Step 6: Final answer
    x = 382.53

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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.