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Finding the Fourth Proportional to 230.24, 342.91 and 223.85

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Solution

The fourth proportional to 230.24, 342.91 and 223.85 is: 333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.24 : 342.91 = 223.85 : x
  2. Step 2: Convert to fraction form
    230.24/342.91 = 223.85/x
  3. Step 3: Cross multiply
    230.24x = 342.91 × 223.85
  4. Step 4: Simplify right side
    230.24x = 76,760.40
  5. Step 5: Solve for x
    x = 76,760.40/230.24
  6. Step 6: Final answer
    x = 333.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.