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Finding the Fourth Proportional to 230.36, 319.81 and 223.68

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Solution

The fourth proportional to 230.36, 319.81 and 223.68 is: 310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.36 : 319.81 = 223.68 : x
  2. Step 2: Convert to fraction form
    230.36/319.81 = 223.68/x
  3. Step 3: Cross multiply
    230.36x = 319.81 × 223.68
  4. Step 4: Simplify right side
    230.36x = 71,535.10
  5. Step 5: Solve for x
    x = 71,535.10/230.36
  6. Step 6: Final answer
    x = 310.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.