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Finding the Fourth Proportional to 317.75, 475.22 and 196.08

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Solution

The fourth proportional to 317.75, 475.22 and 196.08 is: 293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.75 : 475.22 = 196.08 : x
  2. Step 2: Convert to fraction form
    317.75/475.22 = 196.08/x
  3. Step 3: Cross multiply
    317.75x = 475.22 × 196.08
  4. Step 4: Simplify right side
    317.75x = 93,180.16
  5. Step 5: Solve for x
    x = 93,180.16/317.75
  6. Step 6: Final answer
    x = 293.25

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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.