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Finding the Fourth Proportional to 317.73, 475.51 and 266.43

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Solution

The fourth proportional to 317.73, 475.51 and 266.43 is: 398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.73 : 475.51 = 266.43 : x
  2. Step 2: Convert to fraction form
    317.73/475.51 = 266.43/x
  3. Step 3: Cross multiply
    317.73x = 475.51 × 266.43
  4. Step 4: Simplify right side
    317.73x = 126,690.13
  5. Step 5: Solve for x
    x = 126,690.13/317.73
  6. Step 6: Final answer
    x = 398.74

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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.