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Finding the Fourth Proportional to 317.16, 475.61 and 163.26

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Solution

The fourth proportional to 317.16, 475.61 and 163.26 is: 244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.16 : 475.61 = 163.26 : x
  2. Step 2: Convert to fraction form
    317.16/475.61 = 163.26/x
  3. Step 3: Cross multiply
    317.16x = 475.61 × 163.26
  4. Step 4: Simplify right side
    317.16x = 77,647.27
  5. Step 5: Solve for x
    x = 77,647.27/317.16
  6. Step 6: Final answer
    x = 244.82

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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.