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Finding the Fourth Proportional to 230.82, 317.61 and 224.43

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Solution

The fourth proportional to 230.82, 317.61 and 224.43 is: 308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.82 : 317.61 = 224.43 : x
  2. Step 2: Convert to fraction form
    230.82/317.61 = 224.43/x
  3. Step 3: Cross multiply
    230.82x = 317.61 × 224.43
  4. Step 4: Simplify right side
    230.82x = 71,281.21
  5. Step 5: Solve for x
    x = 71,281.21/230.82
  6. Step 6: Final answer
    x = 308.82

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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.