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Finding the Fourth Proportional to 223.08, 332.67 and 205.37

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Solution

The fourth proportional to 223.08, 332.67 and 205.37 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.08 : 332.67 = 205.37 : x
  2. Step 2: Convert to fraction form
    223.08/332.67 = 205.37/x
  3. Step 3: Cross multiply
    223.08x = 332.67 × 205.37
  4. Step 4: Simplify right side
    223.08x = 68,318.77
  5. Step 5: Solve for x
    x = 68,318.77/223.08
  6. Step 6: Final answer
    x = 306.25

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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.