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Finding the Fourth Proportional to 235.15, 323.96 and 224.21

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Solution

The fourth proportional to 235.15, 323.96 and 224.21 is: 308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.15 : 323.96 = 224.21 : x
  2. Step 2: Convert to fraction form
    235.15/323.96 = 224.21/x
  3. Step 3: Cross multiply
    235.15x = 323.96 × 224.21
  4. Step 4: Simplify right side
    235.15x = 72,635.60
  5. Step 5: Solve for x
    x = 72,635.60/235.15
  6. Step 6: Final answer
    x = 308.89

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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.