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Finding the Fourth Proportional to 317.10, 475.19 and 180.41

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Solution

The fourth proportional to 317.10, 475.19 and 180.41 is: 270.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.10 : 475.19 = 180.41 : x
  2. Step 2: Convert to fraction form
    317.10/475.19 = 180.41/x
  3. Step 3: Cross multiply
    317.10x = 475.19 × 180.41
  4. Step 4: Simplify right side
    317.10x = 85,725.75
  5. Step 5: Solve for x
    x = 85,725.75/317.10
  6. Step 6: Final answer
    x = 270.34

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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.