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Finding the Fourth Proportional to 230.03, 317.38 and 164.42

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Solution

The fourth proportional to 230.03, 317.38 and 164.42 is: 226.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.03 : 317.38 = 164.42 : x
  2. Step 2: Convert to fraction form
    230.03/317.38 = 164.42/x
  3. Step 3: Cross multiply
    230.03x = 317.38 × 164.42
  4. Step 4: Simplify right side
    230.03x = 52,183.62
  5. Step 5: Solve for x
    x = 52,183.62/230.03
  6. Step 6: Final answer
    x = 226.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.