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Finding the Fourth Proportional to 317.30, 475.88 and 86.19

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Solution

The fourth proportional to 317.30, 475.88 and 86.19 is: 129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.30 : 475.88 = 86.19 : x
  2. Step 2: Convert to fraction form
    317.30/475.88 = 86.19/x
  3. Step 3: Cross multiply
    317.30x = 475.88 × 86.19
  4. Step 4: Simplify right side
    317.30x = 41,016.10
  5. Step 5: Solve for x
    x = 41,016.10/317.30
  6. Step 6: Final answer
    x = 129.27

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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.