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Finding the Fourth Proportional to 317.65, 476.39 and 112.19

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Solution

The fourth proportional to 317.65, 476.39 and 112.19 is: 168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.65 : 476.39 = 112.19 : x
  2. Step 2: Convert to fraction form
    317.65/476.39 = 112.19/x
  3. Step 3: Cross multiply
    317.65x = 476.39 × 112.19
  4. Step 4: Simplify right side
    317.65x = 53,447.80
  5. Step 5: Solve for x
    x = 53,447.80/317.65
  6. Step 6: Final answer
    x = 168.26

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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.